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Finding the Fourth Proportional to 9,271.91, 12,787.79 and 8,150.47

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Solution

The fourth proportional to 9,271.91, 12,787.79 and 8,150.47 is: 11,241.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.91 : 12,787.79 = 8,150.47 : x
  2. Step 2: Convert to fraction form
    9,271.91/12,787.79 = 8,150.47/x
  3. Step 3: Cross multiply
    9,271.91x = 12,787.79 × 8,150.47
  4. Step 4: Simplify right side
    9,271.91x = 104,226,487.17
  5. Step 5: Solve for x
    x = 104,226,487.17/9,271.91
  6. Step 6: Final answer
    x = 11,241.10

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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.