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Finding the Fourth Proportional to 9,901.46, 13,660.17 and 5,708.90

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Solution

The fourth proportional to 9,901.46, 13,660.17 and 5,708.90 is: 7,876.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.46 : 13,660.17 = 5,708.90 : x
  2. Step 2: Convert to fraction form
    9,901.46/13,660.17 = 5,708.90/x
  3. Step 3: Cross multiply
    9,901.46x = 13,660.17 × 5,708.90
  4. Step 4: Simplify right side
    9,901.46x = 77,984,544.51
  5. Step 5: Solve for x
    x = 77,984,544.51/9,901.46
  6. Step 6: Final answer
    x = 7,876.07

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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.