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Finding the Fourth Proportional to 7,947.38, 10,928.49 and 6,897.62

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Solution

The fourth proportional to 7,947.38, 10,928.49 and 6,897.62 is: 9,484.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,947.38 : 10,928.49 = 6,897.62 : x
  2. Step 2: Convert to fraction form
    7,947.38/10,928.49 = 6,897.62/x
  3. Step 3: Cross multiply
    7,947.38x = 10,928.49 × 6,897.62
  4. Step 4: Simplify right side
    7,947.38x = 75,380,516.55
  5. Step 5: Solve for x
    x = 75,380,516.55/7,947.38
  6. Step 6: Final answer
    x = 9,484.96

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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.