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Finding the Fourth Proportional to 9,691.52, 14,536.98 and 2,766.02

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Solution

The fourth proportional to 9,691.52, 14,536.98 and 2,766.02 is: 4,148.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.52 : 14,536.98 = 2,766.02 : x
  2. Step 2: Convert to fraction form
    9,691.52/14,536.98 = 2,766.02/x
  3. Step 3: Cross multiply
    9,691.52x = 14,536.98 × 2,766.02
  4. Step 4: Simplify right side
    9,691.52x = 40,209,613.76
  5. Step 5: Solve for x
    x = 40,209,613.76/9,691.52
  6. Step 6: Final answer
    x = 4,148.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.