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Finding the Fourth Proportional to 6,154.77, 9,231.85 and 2,258.88

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Solution

The fourth proportional to 6,154.77, 9,231.85 and 2,258.88 is: 3,388.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.77 : 9,231.85 = 2,258.88 : x
  2. Step 2: Convert to fraction form
    6,154.77/9,231.85 = 2,258.88/x
  3. Step 3: Cross multiply
    6,154.77x = 9,231.85 × 2,258.88
  4. Step 4: Simplify right side
    6,154.77x = 20,853,641.33
  5. Step 5: Solve for x
    x = 20,853,641.33/6,154.77
  6. Step 6: Final answer
    x = 3,388.21

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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.