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Finding the Fourth Proportional to 9,244.82, 12,767.18 and 5,889.15

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Solution

The fourth proportional to 9,244.82, 12,767.18 and 5,889.15 is: 8,132.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,244.82 : 12,767.18 = 5,889.15 : x
  2. Step 2: Convert to fraction form
    9,244.82/12,767.18 = 5,889.15/x
  3. Step 3: Cross multiply
    9,244.82x = 12,767.18 × 5,889.15
  4. Step 4: Simplify right side
    9,244.82x = 75,187,808.65
  5. Step 5: Solve for x
    x = 75,187,808.65/9,244.82
  6. Step 6: Final answer
    x = 8,132.96

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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.