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Finding the Fourth Proportional to 9,123.92, 12,591.01 and 4,932.17

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Solution

The fourth proportional to 9,123.92, 12,591.01 and 4,932.17 is: 6,806.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.92 : 12,591.01 = 4,932.17 : x
  2. Step 2: Convert to fraction form
    9,123.92/12,591.01 = 4,932.17/x
  3. Step 3: Cross multiply
    9,123.92x = 12,591.01 × 4,932.17
  4. Step 4: Simplify right side
    9,123.92x = 62,100,992.22
  5. Step 5: Solve for x
    x = 62,100,992.22/9,123.92
  6. Step 6: Final answer
    x = 6,806.39

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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.