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Finding the Fourth Proportional to 6,354.92, 9,526.69 and 3,233.18

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Solution

The fourth proportional to 6,354.92, 9,526.69 and 3,233.18 is: 4,846.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.92 : 9,526.69 = 3,233.18 : x
  2. Step 2: Convert to fraction form
    6,354.92/9,526.69 = 3,233.18/x
  3. Step 3: Cross multiply
    6,354.92x = 9,526.69 × 3,233.18
  4. Step 4: Simplify right side
    6,354.92x = 30,801,503.57
  5. Step 5: Solve for x
    x = 30,801,503.57/6,354.92
  6. Step 6: Final answer
    x = 4,846.88

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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.