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Finding the Fourth Proportional to 9,155.64, 12,634.80 and 4,963.86

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Solution

The fourth proportional to 9,155.64, 12,634.80 and 4,963.86 is: 6,850.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155.64 : 12,634.80 = 4,963.86 : x
  2. Step 2: Convert to fraction form
    9,155.64/12,634.80 = 4,963.86/x
  3. Step 3: Cross multiply
    9,155.64x = 12,634.80 × 4,963.86
  4. Step 4: Simplify right side
    9,155.64x = 62,717,378.33
  5. Step 5: Solve for x
    x = 62,717,378.33/9,155.64
  6. Step 6: Final answer
    x = 6,850.14

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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.