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Finding the Fourth Proportional to 9,096.66, 13,616.14 and 5,969.26

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Solution

The fourth proportional to 9,096.66, 13,616.14 and 5,969.26 is: 8,934.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.66 : 13,616.14 = 5,969.26 : x
  2. Step 2: Convert to fraction form
    9,096.66/13,616.14 = 5,969.26/x
  3. Step 3: Cross multiply
    9,096.66x = 13,616.14 × 5,969.26
  4. Step 4: Simplify right side
    9,096.66x = 81,278,279.86
  5. Step 5: Solve for x
    x = 81,278,279.86/9,096.66
  6. Step 6: Final answer
    x = 8,934.96

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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.