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Finding the Fourth Proportional to 6,998.52, 9,658.04 and 3,854.76

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Solution

The fourth proportional to 6,998.52, 9,658.04 and 3,854.76 is: 5,319.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.52 : 9,658.04 = 3,854.76 : x
  2. Step 2: Convert to fraction form
    6,998.52/9,658.04 = 3,854.76/x
  3. Step 3: Cross multiply
    6,998.52x = 9,658.04 × 3,854.76
  4. Step 4: Simplify right side
    6,998.52x = 37,229,426.27
  5. Step 5: Solve for x
    x = 37,229,426.27/6,998.52
  6. Step 6: Final answer
    x = 5,319.61

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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.