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Finding the Fourth Proportional to 6,437.26, 9,654.72 and 3,474.32

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Solution

The fourth proportional to 6,437.26, 9,654.72 and 3,474.32 is: 5,210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.26 : 9,654.72 = 3,474.32 : x
  2. Step 2: Convert to fraction form
    6,437.26/9,654.72 = 3,474.32/x
  3. Step 3: Cross multiply
    6,437.26x = 9,654.72 × 3,474.32
  4. Step 4: Simplify right side
    6,437.26x = 33,543,586.79
  5. Step 5: Solve for x
    x = 33,543,586.79/6,437.26
  6. Step 6: Final answer
    x = 5,210.85

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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.