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Finding the Fourth Proportional to 9,932.57, 13,706.13 and 5,456.22

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Solution

The fourth proportional to 9,932.57, 13,706.13 and 5,456.22 is: 7,529.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.57 : 13,706.13 = 5,456.22 : x
  2. Step 2: Convert to fraction form
    9,932.57/13,706.13 = 5,456.22/x
  3. Step 3: Cross multiply
    9,932.57x = 13,706.13 × 5,456.22
  4. Step 4: Simplify right side
    9,932.57x = 74,783,660.63
  5. Step 5: Solve for x
    x = 74,783,660.63/9,932.57
  6. Step 6: Final answer
    x = 7,529.14

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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.