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Finding the Fourth Proportional to 9,585.38, 14,380.23 and 3,743.66

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Solution

The fourth proportional to 9,585.38, 14,380.23 and 3,743.66 is: 5,616.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.38 : 14,380.23 = 3,743.66 : x
  2. Step 2: Convert to fraction form
    9,585.38/14,380.23 = 3,743.66/x
  3. Step 3: Cross multiply
    9,585.38x = 14,380.23 × 3,743.66
  4. Step 4: Simplify right side
    9,585.38x = 53,834,691.84
  5. Step 5: Solve for x
    x = 53,834,691.84/9,585.38
  6. Step 6: Final answer
    x = 5,616.33

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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.