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Finding the Fourth Proportional to 8,962.86, 13,447.04 and 8,081.24

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Solution

The fourth proportional to 8,962.86, 13,447.04 and 8,081.24 is: 12,124.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,962.86 : 13,447.04 = 8,081.24 : x
  2. Step 2: Convert to fraction form
    8,962.86/13,447.04 = 8,081.24/x
  3. Step 3: Cross multiply
    8,962.86x = 13,447.04 × 8,081.24
  4. Step 4: Simplify right side
    8,962.86x = 108,668,750.74
  5. Step 5: Solve for x
    x = 108,668,750.74/8,962.86
  6. Step 6: Final answer
    x = 12,124.34

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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.