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Finding the Fourth Proportional to 8,217.35, 12,314.33 and 6,359.77

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Solution

The fourth proportional to 8,217.35, 12,314.33 and 6,359.77 is: 9,530.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.35 : 12,314.33 = 6,359.77 : x
  2. Step 2: Convert to fraction form
    8,217.35/12,314.33 = 6,359.77/x
  3. Step 3: Cross multiply
    8,217.35x = 12,314.33 × 6,359.77
  4. Step 4: Simplify right side
    8,217.35x = 78,316,244.68
  5. Step 5: Solve for x
    x = 78,316,244.68/8,217.35
  6. Step 6: Final answer
    x = 9,530.60

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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.