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Finding the Fourth Proportional to 6,565.61, 9,061.25 and 4,047.18

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Solution

The fourth proportional to 6,565.61, 9,061.25 and 4,047.18 is: 5,585.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.61 : 9,061.25 = 4,047.18 : x
  2. Step 2: Convert to fraction form
    6,565.61/9,061.25 = 4,047.18/x
  3. Step 3: Cross multiply
    6,565.61x = 9,061.25 × 4,047.18
  4. Step 4: Simplify right side
    6,565.61x = 36,672,489.54
  5. Step 5: Solve for x
    x = 36,672,489.54/6,565.61
  6. Step 6: Final answer
    x = 5,585.55

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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.