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Finding the Fourth Proportional to 6,945.39, 10,419.17 and 2,264.32

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Solution

The fourth proportional to 6,945.39, 10,419.17 and 2,264.32 is: 3,396.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.39 : 10,419.17 = 2,264.32 : x
  2. Step 2: Convert to fraction form
    6,945.39/10,419.17 = 2,264.32/x
  3. Step 3: Cross multiply
    6,945.39x = 10,419.17 × 2,264.32
  4. Step 4: Simplify right side
    6,945.39x = 23,592,290.85
  5. Step 5: Solve for x
    x = 23,592,290.85/6,945.39
  6. Step 6: Final answer
    x = 3,396.83

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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.