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Finding the Fourth Proportional to 6,915.89, 9,544.20 and 3,932.00

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Solution

The fourth proportional to 6,915.89, 9,544.20 and 3,932.00 is: 5,426.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.89 : 9,544.20 = 3,932.00 : x
  2. Step 2: Convert to fraction form
    6,915.89/9,544.20 = 3,932.00/x
  3. Step 3: Cross multiply
    6,915.89x = 9,544.20 × 3,932.00
  4. Step 4: Simplify right side
    6,915.89x = 37,527,767.72
  5. Step 5: Solve for x
    x = 37,527,767.72/6,915.89
  6. Step 6: Final answer
    x = 5,426.31

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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.