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Finding the Fourth Proportional to 8,267.86, 12,351.56 and 5,909.14

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Solution

The fourth proportional to 8,267.86, 12,351.56 and 5,909.14 is: 8,827.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.86 : 12,351.56 = 5,909.14 : x
  2. Step 2: Convert to fraction form
    8,267.86/12,351.56 = 5,909.14/x
  3. Step 3: Cross multiply
    8,267.86x = 12,351.56 × 5,909.14
  4. Step 4: Simplify right side
    8,267.86x = 72,987,097.26
  5. Step 5: Solve for x
    x = 72,987,097.26/8,267.86
  6. Step 6: Final answer
    x = 8,827.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.