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Finding the Fourth Proportional to 6,352.38, 9,528.84 and 3,885.66

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Solution

The fourth proportional to 6,352.38, 9,528.84 and 3,885.66 is: 5,828.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.38 : 9,528.84 = 3,885.66 : x
  2. Step 2: Convert to fraction form
    6,352.38/9,528.84 = 3,885.66/x
  3. Step 3: Cross multiply
    6,352.38x = 9,528.84 × 3,885.66
  4. Step 4: Simplify right side
    6,352.38x = 37,025,832.43
  5. Step 5: Solve for x
    x = 37,025,832.43/6,352.38
  6. Step 6: Final answer
    x = 5,828.66

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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.