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Finding the Fourth Proportional to 9,892.57, 14,834.07 and 3,655.52

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Solution

The fourth proportional to 9,892.57, 14,834.07 and 3,655.52 is: 5,481.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.57 : 14,834.07 = 3,655.52 : x
  2. Step 2: Convert to fraction form
    9,892.57/14,834.07 = 3,655.52/x
  3. Step 3: Cross multiply
    9,892.57x = 14,834.07 × 3,655.52
  4. Step 4: Simplify right side
    9,892.57x = 54,226,221.02
  5. Step 5: Solve for x
    x = 54,226,221.02/9,892.57
  6. Step 6: Final answer
    x = 5,481.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.