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Finding the Fourth Proportional to 6,427.30, 9,641.68 and 2,478.40

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Solution

The fourth proportional to 6,427.30, 9,641.68 and 2,478.40 is: 3,717.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.30 : 9,641.68 = 2,478.40 : x
  2. Step 2: Convert to fraction form
    6,427.30/9,641.68 = 2,478.40/x
  3. Step 3: Cross multiply
    6,427.30x = 9,641.68 × 2,478.40
  4. Step 4: Simplify right side
    6,427.30x = 23,895,939.71
  5. Step 5: Solve for x
    x = 23,895,939.71/6,427.30
  6. Step 6: Final answer
    x = 3,717.88

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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.