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Finding the Fourth Proportional to 7,939.71, 10,947.76 and 6,499.49

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Solution

The fourth proportional to 7,939.71, 10,947.76 and 6,499.49 is: 8,961.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,939.71 : 10,947.76 = 6,499.49 : x
  2. Step 2: Convert to fraction form
    7,939.71/10,947.76 = 6,499.49/x
  3. Step 3: Cross multiply
    7,939.71x = 10,947.76 × 6,499.49
  4. Step 4: Simplify right side
    7,939.71x = 71,154,856.64
  5. Step 5: Solve for x
    x = 71,154,856.64/7,939.71
  6. Step 6: Final answer
    x = 8,961.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.