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Finding the Fourth Proportional to 9,084.92, 12,537.18 and 5,310.68

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Solution

The fourth proportional to 9,084.92, 12,537.18 and 5,310.68 is: 7,328.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,084.92 : 12,537.18 = 5,310.68 : x
  2. Step 2: Convert to fraction form
    9,084.92/12,537.18 = 5,310.68/x
  3. Step 3: Cross multiply
    9,084.92x = 12,537.18 × 5,310.68
  4. Step 4: Simplify right side
    9,084.92x = 66,580,951.08
  5. Step 5: Solve for x
    x = 66,580,951.08/9,084.92
  6. Step 6: Final answer
    x = 7,328.73

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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.