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Finding the Fourth Proportional to 9,682.46, 13,365.88 and 6,542.90

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Solution

The fourth proportional to 9,682.46, 13,365.88 and 6,542.90 is: 9,031.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.46 : 13,365.88 = 6,542.90 : x
  2. Step 2: Convert to fraction form
    9,682.46/13,365.88 = 6,542.90/x
  3. Step 3: Cross multiply
    9,682.46x = 13,365.88 × 6,542.90
  4. Step 4: Simplify right side
    9,682.46x = 87,451,616.25
  5. Step 5: Solve for x
    x = 87,451,616.25/9,682.46
  6. Step 6: Final answer
    x = 9,031.96

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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.