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Finding the Fourth Proportional to 8,283.33, 12,429.63 and 6,438.15

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Solution

The fourth proportional to 8,283.33, 12,429.63 and 6,438.15 is: 9,660.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.33 : 12,429.63 = 6,438.15 : x
  2. Step 2: Convert to fraction form
    8,283.33/12,429.63 = 6,438.15/x
  3. Step 3: Cross multiply
    8,283.33x = 12,429.63 × 6,438.15
  4. Step 4: Simplify right side
    8,283.33x = 80,023,822.38
  5. Step 5: Solve for x
    x = 80,023,822.38/8,283.33
  6. Step 6: Final answer
    x = 9,660.83

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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.