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Finding the Fourth Proportional to 8,214.60, 12,309.30 and 6,124.80

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Solution

The fourth proportional to 8,214.60, 12,309.30 and 6,124.80 is: 9,177.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.60 : 12,309.30 = 6,124.80 : x
  2. Step 2: Convert to fraction form
    8,214.60/12,309.30 = 6,124.80/x
  3. Step 3: Cross multiply
    8,214.60x = 12,309.30 × 6,124.80
  4. Step 4: Simplify right side
    8,214.60x = 75,392,000.64
  5. Step 5: Solve for x
    x = 75,392,000.64/8,214.60
  6. Step 6: Final answer
    x = 9,177.81

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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.