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Finding the Fourth Proportional to 6,351.68, 9,524 and 2,887.04

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Solution

The fourth proportional to 6,351.68, 9,524 and 2,887.04 is: 4,328.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,351.68 : 9,524 = 2,887.04 : x
  2. Step 2: Convert to fraction form
    6,351.68/9,524 = 2,887.04/x
  3. Step 3: Cross multiply
    6,351.68x = 9,524 × 2,887.04
  4. Step 4: Simplify right side
    6,351.68x = 27,496,168.96
  5. Step 5: Solve for x
    x = 27,496,168.96/6,351.68
  6. Step 6: Final answer
    x = 4,328.96

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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.