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Finding the Fourth Proportional to 9,132.71, 13,705.22 and 3,585.40

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Solution

The fourth proportional to 9,132.71, 13,705.22 and 3,585.40 is: 5,380.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.71 : 13,705.22 = 3,585.40 : x
  2. Step 2: Convert to fraction form
    9,132.71/13,705.22 = 3,585.40/x
  3. Step 3: Cross multiply
    9,132.71x = 13,705.22 × 3,585.40
  4. Step 4: Simplify right side
    9,132.71x = 49,138,695.79
  5. Step 5: Solve for x
    x = 49,138,695.79/9,132.71
  6. Step 6: Final answer
    x = 5,380.52

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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.