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Finding the Fourth Proportional to 6,348.92, 9,524.70 and 2,454.44

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Solution

The fourth proportional to 6,348.92, 9,524.70 and 2,454.44 is: 3,682.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.92 : 9,524.70 = 2,454.44 : x
  2. Step 2: Convert to fraction form
    6,348.92/9,524.70 = 2,454.44/x
  3. Step 3: Cross multiply
    6,348.92x = 9,524.70 × 2,454.44
  4. Step 4: Simplify right side
    6,348.92x = 23,377,804.67
  5. Step 5: Solve for x
    x = 23,377,804.67/6,348.92
  6. Step 6: Final answer
    x = 3,682.17

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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.