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Finding the Fourth Proportional to 9,138.68, 12,611.38 and 4,946.92

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Solution

The fourth proportional to 9,138.68, 12,611.38 and 4,946.92 is: 6,826.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.68 : 12,611.38 = 4,946.92 : x
  2. Step 2: Convert to fraction form
    9,138.68/12,611.38 = 4,946.92/x
  3. Step 3: Cross multiply
    9,138.68x = 12,611.38 × 4,946.92
  4. Step 4: Simplify right side
    9,138.68x = 62,387,487.95
  5. Step 5: Solve for x
    x = 62,387,487.95/9,138.68
  6. Step 6: Final answer
    x = 6,826.75

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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.