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Finding the Fourth Proportional to 9,787.82, 13,507.10 and 5,311.55

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Solution

The fourth proportional to 9,787.82, 13,507.10 and 5,311.55 is: 7,329.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.82 : 13,507.10 = 5,311.55 : x
  2. Step 2: Convert to fraction form
    9,787.82/13,507.10 = 5,311.55/x
  3. Step 3: Cross multiply
    9,787.82x = 13,507.10 × 5,311.55
  4. Step 4: Simplify right side
    9,787.82x = 71,743,542.91
  5. Step 5: Solve for x
    x = 71,743,542.91/9,787.82
  6. Step 6: Final answer
    x = 7,329.88

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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.