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Finding the Fourth Proportional to 6,154.17, 9,231.19 and 4,174.90

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Solution

The fourth proportional to 6,154.17, 9,231.19 and 4,174.90 is: 6,262.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.17 : 9,231.19 = 4,174.90 : x
  2. Step 2: Convert to fraction form
    6,154.17/9,231.19 = 4,174.90/x
  3. Step 3: Cross multiply
    6,154.17x = 9,231.19 × 4,174.90
  4. Step 4: Simplify right side
    6,154.17x = 38,539,228.10
  5. Step 5: Solve for x
    x = 38,539,228.10/6,154.17
  6. Step 6: Final answer
    x = 6,262.30

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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.