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Finding the Fourth Proportional to 9,752.72, 13,456.98 and 5,560.97

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Solution

The fourth proportional to 9,752.72, 13,456.98 and 5,560.97 is: 7,673.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.72 : 13,456.98 = 5,560.97 : x
  2. Step 2: Convert to fraction form
    9,752.72/13,456.98 = 5,560.97/x
  3. Step 3: Cross multiply
    9,752.72x = 13,456.98 × 5,560.97
  4. Step 4: Simplify right side
    9,752.72x = 74,833,794.79
  5. Step 5: Solve for x
    x = 74,833,794.79/9,752.72
  6. Step 6: Final answer
    x = 7,673.12

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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.