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Finding the Fourth Proportional to 9,305.73, 12,804.38 and 9,084.30

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Solution

The fourth proportional to 9,305.73, 12,804.38 and 9,084.30 is: 12,499.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.73 : 12,804.38 = 9,084.30 : x
  2. Step 2: Convert to fraction form
    9,305.73/12,804.38 = 9,084.30/x
  3. Step 3: Cross multiply
    9,305.73x = 12,804.38 × 9,084.30
  4. Step 4: Simplify right side
    9,305.73x = 116,318,829.23
  5. Step 5: Solve for x
    x = 116,318,829.23/9,305.73
  6. Step 6: Final answer
    x = 12,499.70

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Half scale
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Double scale
Find fourth proportional to 9,306.73, 12,805.76 and 9,085.30
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.