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Finding the Fourth Proportional to 7,132.25, 9,842.73 and 3,988.43

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Solution

The fourth proportional to 7,132.25, 9,842.73 and 3,988.43 is: 5,504.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.25 : 9,842.73 = 3,988.43 : x
  2. Step 2: Convert to fraction form
    7,132.25/9,842.73 = 3,988.43/x
  3. Step 3: Cross multiply
    7,132.25x = 9,842.73 × 3,988.43
  4. Step 4: Simplify right side
    7,132.25x = 39,257,039.61
  5. Step 5: Solve for x
    x = 39,257,039.61/7,132.25
  6. Step 6: Final answer
    x = 5,504.16

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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.