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Finding the Fourth Proportional to 8,336.89, 12,497.14 and 3,957.42

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Solution

The fourth proportional to 8,336.89, 12,497.14 and 3,957.42 is: 5,932.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,336.89 : 12,497.14 = 3,957.42 : x
  2. Step 2: Convert to fraction form
    8,336.89/12,497.14 = 3,957.42/x
  3. Step 3: Cross multiply
    8,336.89x = 12,497.14 × 3,957.42
  4. Step 4: Simplify right side
    8,336.89x = 49,456,461.33
  5. Step 5: Solve for x
    x = 49,456,461.33/8,336.89
  6. Step 6: Final answer
    x = 5,932.24

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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.