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Finding the Fourth Proportional to 9,966.46, 13,753.42 and 5,718.22

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Solution

The fourth proportional to 9,966.46, 13,753.42 and 5,718.22 is: 7,890.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.46 : 13,753.42 = 5,718.22 : x
  2. Step 2: Convert to fraction form
    9,966.46/13,753.42 = 5,718.22/x
  3. Step 3: Cross multiply
    9,966.46x = 13,753.42 × 5,718.22
  4. Step 4: Simplify right side
    9,966.46x = 78,645,081.31
  5. Step 5: Solve for x
    x = 78,645,081.31/9,966.46
  6. Step 6: Final answer
    x = 7,890.97

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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.