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Finding the Fourth Proportional to 6,934.79, 10,398.54 and 5,965.22

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Solution

The fourth proportional to 6,934.79, 10,398.54 and 5,965.22 is: 8,944.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.79 : 10,398.54 = 5,965.22 : x
  2. Step 2: Convert to fraction form
    6,934.79/10,398.54 = 5,965.22/x
  3. Step 3: Cross multiply
    6,934.79x = 10,398.54 × 5,965.22
  4. Step 4: Simplify right side
    6,934.79x = 62,029,578.78
  5. Step 5: Solve for x
    x = 62,029,578.78/6,934.79
  6. Step 6: Final answer
    x = 8,944.69

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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.