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Finding the Fourth Proportional to 6,043.53, 9,023.91 and 5,414.76

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Solution

The fourth proportional to 6,043.53, 9,023.91 and 5,414.76 is: 8,085.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,043.53 : 9,023.91 = 5,414.76 : x
  2. Step 2: Convert to fraction form
    6,043.53/9,023.91 = 5,414.76/x
  3. Step 3: Cross multiply
    6,043.53x = 9,023.91 × 5,414.76
  4. Step 4: Simplify right side
    6,043.53x = 48,862,306.91
  5. Step 5: Solve for x
    x = 48,862,306.91/6,043.53
  6. Step 6: Final answer
    x = 8,085.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.