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Finding the Fourth Proportional to 6,154.71, 9,226.56 and 2,258.19

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Solution

The fourth proportional to 6,154.71, 9,226.56 and 2,258.19 is: 3,385.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.71 : 9,226.56 = 2,258.19 : x
  2. Step 2: Convert to fraction form
    6,154.71/9,226.56 = 2,258.19/x
  3. Step 3: Cross multiply
    6,154.71x = 9,226.56 × 2,258.19
  4. Step 4: Simplify right side
    6,154.71x = 20,835,325.53
  5. Step 5: Solve for x
    x = 20,835,325.53/6,154.71
  6. Step 6: Final answer
    x = 3,385.27

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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.