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Finding the Fourth Proportional to 7,132.26, 9,842.25 and 3,988.38

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Solution

The fourth proportional to 7,132.26, 9,842.25 and 3,988.38 is: 5,503.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.26 : 9,842.25 = 3,988.38 : x
  2. Step 2: Convert to fraction form
    7,132.26/9,842.25 = 3,988.38/x
  3. Step 3: Cross multiply
    7,132.26x = 9,842.25 × 3,988.38
  4. Step 4: Simplify right side
    7,132.26x = 39,254,633.06
  5. Step 5: Solve for x
    x = 39,254,633.06/7,132.26
  6. Step 6: Final answer
    x = 5,503.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.