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Finding the Fourth Proportional to 6,154.56, 9,232.74 and 2,258.64

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Solution

The fourth proportional to 6,154.56, 9,232.74 and 2,258.64 is: 3,388.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.56 : 9,232.74 = 2,258.64 : x
  2. Step 2: Convert to fraction form
    6,154.56/9,232.74 = 2,258.64/x
  3. Step 3: Cross multiply
    6,154.56x = 9,232.74 × 2,258.64
  4. Step 4: Simplify right side
    6,154.56x = 20,853,435.87
  5. Step 5: Solve for x
    x = 20,853,435.87/6,154.56
  6. Step 6: Final answer
    x = 3,388.29

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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.