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Finding the Fourth Proportional to 6,343.85, 9,517.91 and 3,056.57

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Solution

The fourth proportional to 6,343.85, 9,517.91 and 3,056.57 is: 4,585.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.85 : 9,517.91 = 3,056.57 : x
  2. Step 2: Convert to fraction form
    6,343.85/9,517.91 = 3,056.57/x
  3. Step 3: Cross multiply
    6,343.85x = 9,517.91 × 3,056.57
  4. Step 4: Simplify right side
    6,343.85x = 29,092,095.30
  5. Step 5: Solve for x
    x = 29,092,095.30/6,343.85
  6. Step 6: Final answer
    x = 4,585.88

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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.