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Finding the Fourth Proportional to 7,052.97, 9,724.79 and 5,632.13

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Solution

The fourth proportional to 7,052.97, 9,724.79 and 5,632.13 is: 7,765.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.97 : 9,724.79 = 5,632.13 : x
  2. Step 2: Convert to fraction form
    7,052.97/9,724.79 = 5,632.13/x
  3. Step 3: Cross multiply
    7,052.97x = 9,724.79 × 5,632.13
  4. Step 4: Simplify right side
    7,052.97x = 54,771,319.90
  5. Step 5: Solve for x
    x = 54,771,319.90/7,052.97
  6. Step 6: Final answer
    x = 7,765.71

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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.