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Finding the Fourth Proportional to 9,104.47, 12,561.89 and 6,982.17

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Solution

The fourth proportional to 9,104.47, 12,561.89 and 6,982.17 is: 9,633.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.47 : 12,561.89 = 6,982.17 : x
  2. Step 2: Convert to fraction form
    9,104.47/12,561.89 = 6,982.17/x
  3. Step 3: Cross multiply
    9,104.47x = 12,561.89 × 6,982.17
  4. Step 4: Simplify right side
    9,104.47x = 87,709,169.48
  5. Step 5: Solve for x
    x = 87,709,169.48/9,104.47
  6. Step 6: Final answer
    x = 9,633.64

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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.