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Finding the Fourth Proportional to 6,965.28, 9,612.27 and 3,981.60

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Solution

The fourth proportional to 6,965.28, 9,612.27 and 3,981.60 is: 5,494.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.28 : 9,612.27 = 3,981.60 : x
  2. Step 2: Convert to fraction form
    6,965.28/9,612.27 = 3,981.60/x
  3. Step 3: Cross multiply
    6,965.28x = 9,612.27 × 3,981.60
  4. Step 4: Simplify right side
    6,965.28x = 38,272,214.23
  5. Step 5: Solve for x
    x = 38,272,214.23/6,965.28
  6. Step 6: Final answer
    x = 5,494.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.