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Finding the Fourth Proportional to 9,932.71, 13,705.20 and 5,685.07

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Solution

The fourth proportional to 9,932.71, 13,705.20 and 5,685.07 is: 7,844.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.71 : 13,705.20 = 5,685.07 : x
  2. Step 2: Convert to fraction form
    9,932.71/13,705.20 = 5,685.07/x
  3. Step 3: Cross multiply
    9,932.71x = 13,705.20 × 5,685.07
  4. Step 4: Simplify right side
    9,932.71x = 77,915,021.36
  5. Step 5: Solve for x
    x = 77,915,021.36/9,932.71
  6. Step 6: Final answer
    x = 7,844.29

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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.