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Finding the Fourth Proportional to 9,181.89, 12,671.27 and 6,497.91

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Solution

The fourth proportional to 9,181.89, 12,671.27 and 6,497.91 is: 8,967.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181.89 : 12,671.27 = 6,497.91 : x
  2. Step 2: Convert to fraction form
    9,181.89/12,671.27 = 6,497.91/x
  3. Step 3: Cross multiply
    9,181.89x = 12,671.27 × 6,497.91
  4. Step 4: Simplify right side
    9,181.89x = 82,336,772.05
  5. Step 5: Solve for x
    x = 82,336,772.05/9,181.89
  6. Step 6: Final answer
    x = 8,967.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.