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Finding the Fourth Proportional to 9,565.62, 14,327.61 and 5,856.60

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Solution

The fourth proportional to 9,565.62, 14,327.61 and 5,856.60 is: 8,772.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.62 : 14,327.61 = 5,856.60 : x
  2. Step 2: Convert to fraction form
    9,565.62/14,327.61 = 5,856.60/x
  3. Step 3: Cross multiply
    9,565.62x = 14,327.61 × 5,856.60
  4. Step 4: Simplify right side
    9,565.62x = 83,911,080.73
  5. Step 5: Solve for x
    x = 83,911,080.73/9,565.62
  6. Step 6: Final answer
    x = 8,772.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.