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Finding the Fourth Proportional to 9,305.23, 12,803.69 and 9,083.80

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Solution

The fourth proportional to 9,305.23, 12,803.69 and 9,083.80 is: 12,499.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.23 : 12,803.69 = 9,083.80 : x
  2. Step 2: Convert to fraction form
    9,305.23/12,803.69 = 9,083.80/x
  3. Step 3: Cross multiply
    9,305.23x = 12,803.69 × 9,083.80
  4. Step 4: Simplify right side
    9,305.23x = 116,306,159.22
  5. Step 5: Solve for x
    x = 116,306,159.22/9,305.23
  6. Step 6: Final answer
    x = 12,499.01

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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.