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Finding the Fourth Proportional to 6,158.85, 9,232.74 and 2,262.30

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Solution

The fourth proportional to 6,158.85, 9,232.74 and 2,262.30 is: 3,391.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,158.85 : 9,232.74 = 2,262.30 : x
  2. Step 2: Convert to fraction form
    6,158.85/9,232.74 = 2,262.30/x
  3. Step 3: Cross multiply
    6,158.85x = 9,232.74 × 2,262.30
  4. Step 4: Simplify right side
    6,158.85x = 20,887,227.70
  5. Step 5: Solve for x
    x = 20,887,227.70/6,158.85
  6. Step 6: Final answer
    x = 3,391.42

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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.