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Finding the Fourth Proportional to 6,508.01, 9,747.43 and 5,042.72

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Solution

The fourth proportional to 6,508.01, 9,747.43 and 5,042.72 is: 7,552.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.01 : 9,747.43 = 5,042.72 : x
  2. Step 2: Convert to fraction form
    6,508.01/9,747.43 = 5,042.72/x
  3. Step 3: Cross multiply
    6,508.01x = 9,747.43 × 5,042.72
  4. Step 4: Simplify right side
    6,508.01x = 49,153,571.97
  5. Step 5: Solve for x
    x = 49,153,571.97/6,508.01
  6. Step 6: Final answer
    x = 7,552.78

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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.