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Finding the Fourth Proportional to 8,642.14, 12,963.42 and 3,095.87

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Solution

The fourth proportional to 8,642.14, 12,963.42 and 3,095.87 is: 4,643.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.14 : 12,963.42 = 3,095.87 : x
  2. Step 2: Convert to fraction form
    8,642.14/12,963.42 = 3,095.87/x
  3. Step 3: Cross multiply
    8,642.14x = 12,963.42 × 3,095.87
  4. Step 4: Simplify right side
    8,642.14x = 40,132,998.26
  5. Step 5: Solve for x
    x = 40,132,998.26/8,642.14
  6. Step 6: Final answer
    x = 4,643.87

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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.