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Finding the Fourth Proportional to 9,081.46, 12,532.95 and 6,839.38

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Solution

The fourth proportional to 9,081.46, 12,532.95 and 6,839.38 is: 9,438.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,081.46 : 12,532.95 = 6,839.38 : x
  2. Step 2: Convert to fraction form
    9,081.46/12,532.95 = 6,839.38/x
  3. Step 3: Cross multiply
    9,081.46x = 12,532.95 × 6,839.38
  4. Step 4: Simplify right side
    9,081.46x = 85,717,607.57
  5. Step 5: Solve for x
    x = 85,717,607.57/9,081.46
  6. Step 6: Final answer
    x = 9,438.75

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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.