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Finding the Fourth Proportional to 6,049.20, 9,076.68 and 4,753.20

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Solution

The fourth proportional to 6,049.20, 9,076.68 and 4,753.20 is: 7,132.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.20 : 9,076.68 = 4,753.20 : x
  2. Step 2: Convert to fraction form
    6,049.20/9,076.68 = 4,753.20/x
  3. Step 3: Cross multiply
    6,049.20x = 9,076.68 × 4,753.20
  4. Step 4: Simplify right side
    6,049.20x = 43,143,275.38
  5. Step 5: Solve for x
    x = 43,143,275.38/6,049.20
  6. Step 6: Final answer
    x = 7,132.06

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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.