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Finding the Fourth Proportional to 9,921.14, 13,687.08 and 6,565.58

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Solution

The fourth proportional to 9,921.14, 13,687.08 and 6,565.58 is: 9,057.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,921.14 : 13,687.08 = 6,565.58 : x
  2. Step 2: Convert to fraction form
    9,921.14/13,687.08 = 6,565.58/x
  3. Step 3: Cross multiply
    9,921.14x = 13,687.08 × 6,565.58
  4. Step 4: Simplify right side
    9,921.14x = 89,863,618.71
  5. Step 5: Solve for x
    x = 89,863,618.71/9,921.14
  6. Step 6: Final answer
    x = 9,057.79

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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.