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Finding the Fourth Proportional to 8,962.71, 12,369.96 and 8,671.34

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Solution

The fourth proportional to 8,962.71, 12,369.96 and 8,671.34 is: 11,967.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,962.71 : 12,369.96 = 8,671.34 : x
  2. Step 2: Convert to fraction form
    8,962.71/12,369.96 = 8,671.34/x
  3. Step 3: Cross multiply
    8,962.71x = 12,369.96 × 8,671.34
  4. Step 4: Simplify right side
    8,962.71x = 107,264,067.10
  5. Step 5: Solve for x
    x = 107,264,067.10/8,962.71
  6. Step 6: Final answer
    x = 11,967.82

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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.