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Finding the Fourth Proportional to 9,937.29, 13,707.37 and 5,901.38

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Solution

The fourth proportional to 9,937.29, 13,707.37 and 5,901.38 is: 8,140.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.29 : 13,707.37 = 5,901.38 : x
  2. Step 2: Convert to fraction form
    9,937.29/13,707.37 = 5,901.38/x
  3. Step 3: Cross multiply
    9,937.29x = 13,707.37 × 5,901.38
  4. Step 4: Simplify right side
    9,937.29x = 80,892,399.17
  5. Step 5: Solve for x
    x = 80,892,399.17/9,937.29
  6. Step 6: Final answer
    x = 8,140.29

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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.