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Finding the Fourth Proportional to 9,143.64, 12,618.24 and 4,951.86

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Solution

The fourth proportional to 9,143.64, 12,618.24 and 4,951.86 is: 6,833.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.64 : 12,618.24 = 4,951.86 : x
  2. Step 2: Convert to fraction form
    9,143.64/12,618.24 = 4,951.86/x
  3. Step 3: Cross multiply
    9,143.64x = 12,618.24 × 4,951.86
  4. Step 4: Simplify right side
    9,143.64x = 62,483,757.93
  5. Step 5: Solve for x
    x = 62,483,757.93/9,143.64
  6. Step 6: Final answer
    x = 6,833.58

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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.