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Finding the Fourth Proportional to 6,427.92, 9,641.88 and 2,532.30

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Solution

The fourth proportional to 6,427.92, 9,641.88 and 2,532.30 is: 3,798.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.92 : 9,641.88 = 2,532.30 : x
  2. Step 2: Convert to fraction form
    6,427.92/9,641.88 = 2,532.30/x
  3. Step 3: Cross multiply
    6,427.92x = 9,641.88 × 2,532.30
  4. Step 4: Simplify right side
    6,427.92x = 24,416,132.72
  5. Step 5: Solve for x
    x = 24,416,132.72/6,427.92
  6. Step 6: Final answer
    x = 3,798.45

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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.