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Finding the Fourth Proportional to 6,032.34, 9,041.49 and 3,781.89

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Solution

The fourth proportional to 6,032.34, 9,041.49 and 3,781.89 is: 5,668.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.34 : 9,041.49 = 3,781.89 : x
  2. Step 2: Convert to fraction form
    6,032.34/9,041.49 = 3,781.89/x
  3. Step 3: Cross multiply
    6,032.34x = 9,041.49 × 3,781.89
  4. Step 4: Simplify right side
    6,032.34x = 34,193,920.62
  5. Step 5: Solve for x
    x = 34,193,920.62/6,032.34
  6. Step 6: Final answer
    x = 5,668.43

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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.