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Finding the Fourth Proportional to 6,909.52, 9,538.01 and 5,231.41

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Solution

The fourth proportional to 6,909.52, 9,538.01 and 5,231.41 is: 7,221.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.52 : 9,538.01 = 5,231.41 : x
  2. Step 2: Convert to fraction form
    6,909.52/9,538.01 = 5,231.41/x
  3. Step 3: Cross multiply
    6,909.52x = 9,538.01 × 5,231.41
  4. Step 4: Simplify right side
    6,909.52x = 49,897,240.89
  5. Step 5: Solve for x
    x = 49,897,240.89/6,909.52
  6. Step 6: Final answer
    x = 7,221.52

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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.