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Finding the Fourth Proportional to 9,632.71, 14,452.02 and 8,639.25

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Solution

The fourth proportional to 9,632.71, 14,452.02 and 8,639.25 is: 12,961.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.71 : 14,452.02 = 8,639.25 : x
  2. Step 2: Convert to fraction form
    9,632.71/14,452.02 = 8,639.25/x
  3. Step 3: Cross multiply
    9,632.71x = 14,452.02 × 8,639.25
  4. Step 4: Simplify right side
    9,632.71x = 124,854,498.33
  5. Step 5: Solve for x
    x = 124,854,498.33/9,632.71
  6. Step 6: Final answer
    x = 12,961.51

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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.