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Finding the Fourth Proportional to 9,675.42, 13,344.15 and 6,489.24

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Solution

The fourth proportional to 9,675.42, 13,344.15 and 6,489.24 is: 8,949.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.42 : 13,344.15 = 6,489.24 : x
  2. Step 2: Convert to fraction form
    9,675.42/13,344.15 = 6,489.24/x
  3. Step 3: Cross multiply
    9,675.42x = 13,344.15 × 6,489.24
  4. Step 4: Simplify right side
    9,675.42x = 86,593,391.95
  5. Step 5: Solve for x
    x = 86,593,391.95/9,675.42
  6. Step 6: Final answer
    x = 8,949.83

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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.