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Finding the Fourth Proportional to 9,252.54, 13,882.05 and 5,785.74

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Solution

The fourth proportional to 9,252.54, 13,882.05 and 5,785.74 is: 8,680.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252.54 : 13,882.05 = 5,785.74 : x
  2. Step 2: Convert to fraction form
    9,252.54/13,882.05 = 5,785.74/x
  3. Step 3: Cross multiply
    9,252.54x = 13,882.05 × 5,785.74
  4. Step 4: Simplify right side
    9,252.54x = 80,317,931.97
  5. Step 5: Solve for x
    x = 80,317,931.97/9,252.54
  6. Step 6: Final answer
    x = 8,680.64

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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.