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Finding the Fourth Proportional to 6,265.32, 9,398.15 and 2,105.48

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Solution

The fourth proportional to 6,265.32, 9,398.15 and 2,105.48 is: 3,158.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.32 : 9,398.15 = 2,105.48 : x
  2. Step 2: Convert to fraction form
    6,265.32/9,398.15 = 2,105.48/x
  3. Step 3: Cross multiply
    6,265.32x = 9,398.15 × 2,105.48
  4. Step 4: Simplify right side
    6,265.32x = 19,787,559.34
  5. Step 5: Solve for x
    x = 19,787,559.34/6,265.32
  6. Step 6: Final answer
    x = 3,158.27

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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.