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Finding the Fourth Proportional to 9,248.71, 13,854.73 and 4,311.55

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Solution

The fourth proportional to 9,248.71, 13,854.73 and 4,311.55 is: 6,458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248.71 : 13,854.73 = 4,311.55 : x
  2. Step 2: Convert to fraction form
    9,248.71/13,854.73 = 4,311.55/x
  3. Step 3: Cross multiply
    9,248.71x = 13,854.73 × 4,311.55
  4. Step 4: Simplify right side
    9,248.71x = 59,735,361.13
  5. Step 5: Solve for x
    x = 59,735,361.13/9,248.71
  6. Step 6: Final answer
    x = 6,458.78

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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.