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Finding the Fourth Proportional to 9,255.53, 12,772.95 and 5,063.78

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Solution

The fourth proportional to 9,255.53, 12,772.95 and 5,063.78 is: 6,988.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,255.53 : 12,772.95 = 5,063.78 : x
  2. Step 2: Convert to fraction form
    9,255.53/12,772.95 = 5,063.78/x
  3. Step 3: Cross multiply
    9,255.53x = 12,772.95 × 5,063.78
  4. Step 4: Simplify right side
    9,255.53x = 64,679,408.75
  5. Step 5: Solve for x
    x = 64,679,408.75/9,255.53
  6. Step 6: Final answer
    x = 6,988.19

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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.