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Finding the Fourth Proportional to 7,129.69, 9,839.00 and 3,985.88

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Solution

The fourth proportional to 7,129.69, 9,839.00 and 3,985.88 is: 5,500.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.69 : 9,839.00 = 3,985.88 : x
  2. Step 2: Convert to fraction form
    7,129.69/9,839.00 = 3,985.88/x
  3. Step 3: Cross multiply
    7,129.69x = 9,839.00 × 3,985.88
  4. Step 4: Simplify right side
    7,129.69x = 39,217,034.09
  5. Step 5: Solve for x
    x = 39,217,034.09/7,129.69
  6. Step 6: Final answer
    x = 5,500.53

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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.