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Finding the Fourth Proportional to 9,651.53, 14,481.90 and 5,438.13

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Solution

The fourth proportional to 9,651.53, 14,481.90 and 5,438.13 is: 8,159.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.53 : 14,481.90 = 5,438.13 : x
  2. Step 2: Convert to fraction form
    9,651.53/14,481.90 = 5,438.13/x
  3. Step 3: Cross multiply
    9,651.53x = 14,481.90 × 5,438.13
  4. Step 4: Simplify right side
    9,651.53x = 78,754,454.85
  5. Step 5: Solve for x
    x = 78,754,454.85/9,651.53
  6. Step 6: Final answer
    x = 8,159.79

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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.