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Finding the Fourth Proportional to 8,642.63, 12,963.96 and 5,862.42

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Solution

The fourth proportional to 8,642.63, 12,963.96 and 5,862.42 is: 8,793.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.63 : 12,963.96 = 5,862.42 : x
  2. Step 2: Convert to fraction form
    8,642.63/12,963.96 = 5,862.42/x
  3. Step 3: Cross multiply
    8,642.63x = 12,963.96 × 5,862.42
  4. Step 4: Simplify right side
    8,642.63x = 76,000,178.38
  5. Step 5: Solve for x
    x = 76,000,178.38/8,642.63
  6. Step 6: Final answer
    x = 8,793.65

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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.