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Finding the Fourth Proportional to 8,287.92, 12,436.35 and 6,442.74

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Solution

The fourth proportional to 8,287.92, 12,436.35 and 6,442.74 is: 9,667.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.92 : 12,436.35 = 6,442.74 : x
  2. Step 2: Convert to fraction form
    8,287.92/12,436.35 = 6,442.74/x
  3. Step 3: Cross multiply
    8,287.92x = 12,436.35 × 6,442.74
  4. Step 4: Simplify right side
    8,287.92x = 80,124,169.60
  5. Step 5: Solve for x
    x = 80,124,169.60/8,287.92
  6. Step 6: Final answer
    x = 9,667.58

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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.