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Finding the Fourth Proportional to 6,474.24, 9,687.60 and 4,010.40

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Solution

The fourth proportional to 6,474.24, 9,687.60 and 4,010.40 is: 6,000.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.24 : 9,687.60 = 4,010.40 : x
  2. Step 2: Convert to fraction form
    6,474.24/9,687.60 = 4,010.40/x
  3. Step 3: Cross multiply
    6,474.24x = 9,687.60 × 4,010.40
  4. Step 4: Simplify right side
    6,474.24x = 38,851,151.04
  5. Step 5: Solve for x
    x = 38,851,151.04/6,474.24
  6. Step 6: Final answer
    x = 6,000.88

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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.