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Finding the Fourth Proportional to 9,644.33, 14,454.57 and 5,691.59

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Solution

The fourth proportional to 9,644.33, 14,454.57 and 5,691.59 is: 8,530.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.33 : 14,454.57 = 5,691.59 : x
  2. Step 2: Convert to fraction form
    9,644.33/14,454.57 = 5,691.59/x
  3. Step 3: Cross multiply
    9,644.33x = 14,454.57 × 5,691.59
  4. Step 4: Simplify right side
    9,644.33x = 82,269,489.34
  5. Step 5: Solve for x
    x = 82,269,489.34/9,644.33
  6. Step 6: Final answer
    x = 8,530.35

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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.