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Finding the Fourth Proportional to 9,116.62, 13,673.41 and 2,543.47

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Solution

The fourth proportional to 9,116.62, 13,673.41 and 2,543.47 is: 3,814.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.62 : 13,673.41 = 2,543.47 : x
  2. Step 2: Convert to fraction form
    9,116.62/13,673.41 = 2,543.47/x
  3. Step 3: Cross multiply
    9,116.62x = 13,673.41 × 2,543.47
  4. Step 4: Simplify right side
    9,116.62x = 34,777,867.59
  5. Step 5: Solve for x
    x = 34,777,867.59/9,116.62
  6. Step 6: Final answer
    x = 3,814.78

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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.