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Finding the Fourth Proportional to 9,937.13, 13,713.14 and 5,460.78

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Solution

The fourth proportional to 9,937.13, 13,713.14 and 5,460.78 is: 7,535.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.13 : 13,713.14 = 5,460.78 : x
  2. Step 2: Convert to fraction form
    9,937.13/13,713.14 = 5,460.78/x
  3. Step 3: Cross multiply
    9,937.13x = 13,713.14 × 5,460.78
  4. Step 4: Simplify right side
    9,937.13x = 74,884,440.65
  5. Step 5: Solve for x
    x = 74,884,440.65/9,937.13
  6. Step 6: Final answer
    x = 7,535.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.