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Finding the Fourth Proportional to 6,154.13, 9,233.49 and 3,690.71

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Solution

The fourth proportional to 6,154.13, 9,233.49 and 3,690.71 is: 5,537.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.13 : 9,233.49 = 3,690.71 : x
  2. Step 2: Convert to fraction form
    6,154.13/9,233.49 = 3,690.71/x
  3. Step 3: Cross multiply
    6,154.13x = 9,233.49 × 3,690.71
  4. Step 4: Simplify right side
    6,154.13x = 34,078,115.42
  5. Step 5: Solve for x
    x = 34,078,115.42/6,154.13
  6. Step 6: Final answer
    x = 5,537.44

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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.