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Finding the Fourth Proportional to 8,232.19, 12,340.99 and 6,149.68

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Solution

The fourth proportional to 8,232.19, 12,340.99 and 6,149.68 is: 9,219.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.19 : 12,340.99 = 6,149.68 : x
  2. Step 2: Convert to fraction form
    8,232.19/12,340.99 = 6,149.68/x
  3. Step 3: Cross multiply
    8,232.19x = 12,340.99 × 6,149.68
  4. Step 4: Simplify right side
    8,232.19x = 75,893,139.38
  5. Step 5: Solve for x
    x = 75,893,139.38/8,232.19
  6. Step 6: Final answer
    x = 9,219.07

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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.