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Finding the Fourth Proportional to 6,354.95, 9,528.17 and 2,454.80

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Solution

The fourth proportional to 6,354.95, 9,528.17 and 2,454.80 is: 3,680.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.95 : 9,528.17 = 2,454.80 : x
  2. Step 2: Convert to fraction form
    6,354.95/9,528.17 = 2,454.80/x
  3. Step 3: Cross multiply
    6,354.95x = 9,528.17 × 2,454.80
  4. Step 4: Simplify right side
    6,354.95x = 23,389,781.67
  5. Step 5: Solve for x
    x = 23,389,781.67/6,354.95
  6. Step 6: Final answer
    x = 3,680.56

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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.