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Finding the Fourth Proportional to 6,265.52, 9,398.51 and 2,105.66

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Solution

The fourth proportional to 6,265.52, 9,398.51 and 2,105.66 is: 3,158.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.52 : 9,398.51 = 2,105.66 : x
  2. Step 2: Convert to fraction form
    6,265.52/9,398.51 = 2,105.66/x
  3. Step 3: Cross multiply
    6,265.52x = 9,398.51 × 2,105.66
  4. Step 4: Simplify right side
    6,265.52x = 19,790,009.05
  5. Step 5: Solve for x
    x = 19,790,009.05/6,265.52
  6. Step 6: Final answer
    x = 3,158.56

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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.