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Finding the Fourth Proportional to 9,192.57, 12,685.83 and 5,000.82

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Solution

The fourth proportional to 9,192.57, 12,685.83 and 5,000.82 is: 6,901.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.57 : 12,685.83 = 5,000.82 : x
  2. Step 2: Convert to fraction form
    9,192.57/12,685.83 = 5,000.82/x
  3. Step 3: Cross multiply
    9,192.57x = 12,685.83 × 5,000.82
  4. Step 4: Simplify right side
    9,192.57x = 63,439,552.38
  5. Step 5: Solve for x
    x = 63,439,552.38/9,192.57
  6. Step 6: Final answer
    x = 6,901.18

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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.