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Finding the Fourth Proportional to 9,266.53, 12,787.87 and 5,074.78

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Solution

The fourth proportional to 9,266.53, 12,787.87 and 5,074.78 is: 7,003.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,266.53 : 12,787.87 = 5,074.78 : x
  2. Step 2: Convert to fraction form
    9,266.53/12,787.87 = 5,074.78/x
  3. Step 3: Cross multiply
    9,266.53x = 12,787.87 × 5,074.78
  4. Step 4: Simplify right side
    9,266.53x = 64,895,601.54
  5. Step 5: Solve for x
    x = 64,895,601.54/9,266.53
  6. Step 6: Final answer
    x = 7,003.23

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Why These Related Problems?

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