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Finding the Fourth Proportional to 9,143.38, 12,617.86 and 4,951.63

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Solution

The fourth proportional to 9,143.38, 12,617.86 and 4,951.63 is: 6,833.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.38 : 12,617.86 = 4,951.63 : x
  2. Step 2: Convert to fraction form
    9,143.38/12,617.86 = 4,951.63/x
  3. Step 3: Cross multiply
    9,143.38x = 12,617.86 × 4,951.63
  4. Step 4: Simplify right side
    9,143.38x = 62,478,911.02
  5. Step 5: Solve for x
    x = 62,478,911.02/9,143.38
  6. Step 6: Final answer
    x = 6,833.24

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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.