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Finding the Fourth Proportional to 9,155.53, 12,634.68 and 4,963.78

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Solution

The fourth proportional to 9,155.53, 12,634.68 and 4,963.78 is: 6,850.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155.53 : 12,634.68 = 4,963.78 : x
  2. Step 2: Convert to fraction form
    9,155.53/12,634.68 = 4,963.78/x
  3. Step 3: Cross multiply
    9,155.53x = 12,634.68 × 4,963.78
  4. Step 4: Simplify right side
    9,155.53x = 62,715,806.30
  5. Step 5: Solve for x
    x = 62,715,806.30/9,155.53
  6. Step 6: Final answer
    x = 6,850.05

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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.