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Finding the Fourth Proportional to 9,641.55, 14,446.80 and 5,469.15

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Solution

The fourth proportional to 9,641.55, 14,446.80 and 5,469.15 is: 8,194.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.55 : 14,446.80 = 5,469.15 : x
  2. Step 2: Convert to fraction form
    9,641.55/14,446.80 = 5,469.15/x
  3. Step 3: Cross multiply
    9,641.55x = 14,446.80 × 5,469.15
  4. Step 4: Simplify right side
    9,641.55x = 79,011,716.22
  5. Step 5: Solve for x
    x = 79,011,716.22/9,641.55
  6. Step 6: Final answer
    x = 8,194.92

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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.