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Finding the Fourth Proportional to 6,916.32, 9,544.69 and 3,932.13

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Solution

The fourth proportional to 6,916.32, 9,544.69 and 3,932.13 is: 5,426.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,916.32 : 9,544.69 = 3,932.13 : x
  2. Step 2: Convert to fraction form
    6,916.32/9,544.69 = 3,932.13/x
  3. Step 3: Cross multiply
    6,916.32x = 9,544.69 × 3,932.13
  4. Step 4: Simplify right side
    6,916.32x = 37,530,926.79
  5. Step 5: Solve for x
    x = 37,530,926.79/6,916.32
  6. Step 6: Final answer
    x = 5,426.43

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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.