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Finding the Fourth Proportional to 6,432.88, 9,635.52 and 5,731.84

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Solution

The fourth proportional to 6,432.88, 9,635.52 and 5,731.84 is: 8,585.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.88 : 9,635.52 = 5,731.84 : x
  2. Step 2: Convert to fraction form
    6,432.88/9,635.52 = 5,731.84/x
  3. Step 3: Cross multiply
    6,432.88x = 9,635.52 × 5,731.84
  4. Step 4: Simplify right side
    6,432.88x = 55,229,258.96
  5. Step 5: Solve for x
    x = 55,229,258.96/6,432.88
  6. Step 6: Final answer
    x = 8,585.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.