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Finding the Fourth Proportional to 6,155.32, 9,227.52 and 2,258.83

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Solution

The fourth proportional to 6,155.32, 9,227.52 and 2,258.83 is: 3,386.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.32 : 9,227.52 = 2,258.83 : x
  2. Step 2: Convert to fraction form
    6,155.32/9,227.52 = 2,258.83/x
  3. Step 3: Cross multiply
    6,155.32x = 9,227.52 × 2,258.83
  4. Step 4: Simplify right side
    6,155.32x = 20,843,399.00
  5. Step 5: Solve for x
    x = 20,843,399.00/6,155.32
  6. Step 6: Final answer
    x = 3,386.24

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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.