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Finding the Fourth Proportional to 6,342.71, 8,753.18 and 4,214.57

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Solution

The fourth proportional to 6,342.71, 8,753.18 and 4,214.57 is: 5,816.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.71 : 8,753.18 = 4,214.57 : x
  2. Step 2: Convert to fraction form
    6,342.71/8,753.18 = 4,214.57/x
  3. Step 3: Cross multiply
    6,342.71x = 8,753.18 × 4,214.57
  4. Step 4: Simplify right side
    6,342.71x = 36,890,824.99
  5. Step 5: Solve for x
    x = 36,890,824.99/6,342.71
  6. Step 6: Final answer
    x = 5,816.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.