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Finding the Fourth Proportional to 9,124.02, 12,591.18 and 4,932.27

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Solution

The fourth proportional to 9,124.02, 12,591.18 and 4,932.27 is: 6,806.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.02 : 12,591.18 = 4,932.27 : x
  2. Step 2: Convert to fraction form
    9,124.02/12,591.18 = 4,932.27/x
  3. Step 3: Cross multiply
    9,124.02x = 12,591.18 × 4,932.27
  4. Step 4: Simplify right side
    9,124.02x = 62,103,099.38
  5. Step 5: Solve for x
    x = 62,103,099.38/9,124.02
  6. Step 6: Final answer
    x = 6,806.55

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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.