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Finding the Fourth Proportional to 6,987.28, 9,642.08 and 3,842.86

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Solution

The fourth proportional to 6,987.28, 9,642.08 and 3,842.86 is: 5,302.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.28 : 9,642.08 = 3,842.86 : x
  2. Step 2: Convert to fraction form
    6,987.28/9,642.08 = 3,842.86/x
  3. Step 3: Cross multiply
    6,987.28x = 9,642.08 × 3,842.86
  4. Step 4: Simplify right side
    6,987.28x = 37,053,163.55
  5. Step 5: Solve for x
    x = 37,053,163.55/6,987.28
  6. Step 6: Final answer
    x = 5,302.95

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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.