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Finding the Fourth Proportional to 6,314.90, 9,446.42 and 5,265.14

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Solution

The fourth proportional to 6,314.90, 9,446.42 and 5,265.14 is: 7,876.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.90 : 9,446.42 = 5,265.14 : x
  2. Step 2: Convert to fraction form
    6,314.90/9,446.42 = 5,265.14/x
  3. Step 3: Cross multiply
    6,314.90x = 9,446.42 × 5,265.14
  4. Step 4: Simplify right side
    6,314.90x = 49,736,689.73
  5. Step 5: Solve for x
    x = 49,736,689.73/6,314.90
  6. Step 6: Final answer
    x = 7,876.09

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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.