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Finding the Fourth Proportional to 8,642.25, 12,963.42 and 2,486.25

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Solution

The fourth proportional to 8,642.25, 12,963.42 and 2,486.25 is: 3,729.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.25 : 12,963.42 = 2,486.25 : x
  2. Step 2: Convert to fraction form
    8,642.25/12,963.42 = 2,486.25/x
  3. Step 3: Cross multiply
    8,642.25x = 12,963.42 × 2,486.25
  4. Step 4: Simplify right side
    8,642.25x = 32,230,302.98
  5. Step 5: Solve for x
    x = 32,230,302.98/8,642.25
  6. Step 6: Final answer
    x = 3,729.39

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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.