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Finding the Fourth Proportional to 9,472.55, 13,073.66 and 5,699.53

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Solution

The fourth proportional to 9,472.55, 13,073.66 and 5,699.53 is: 7,866.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.55 : 13,073.66 = 5,699.53 : x
  2. Step 2: Convert to fraction form
    9,472.55/13,073.66 = 5,699.53/x
  3. Step 3: Cross multiply
    9,472.55x = 13,073.66 × 5,699.53
  4. Step 4: Simplify right side
    9,472.55x = 74,513,717.38
  5. Step 5: Solve for x
    x = 74,513,717.38/9,472.55
  6. Step 6: Final answer
    x = 7,866.28

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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.