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Finding the Fourth Proportional to 6,764.92, 9,334 and 3,932.76

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Solution

The fourth proportional to 6,764.92, 9,334 and 3,932.76 is: 5,426.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,764.92 : 9,334 = 3,932.76 : x
  2. Step 2: Convert to fraction form
    6,764.92/9,334 = 3,932.76/x
  3. Step 3: Cross multiply
    6,764.92x = 9,334 × 3,932.76
  4. Step 4: Simplify right side
    6,764.92x = 36,708,381.84
  5. Step 5: Solve for x
    x = 36,708,381.84/6,764.92
  6. Step 6: Final answer
    x = 5,426.28

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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.