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Finding the Fourth Proportional to 6,965.66, 9,613.28 and 3,981.76

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Solution

The fourth proportional to 6,965.66, 9,613.28 and 3,981.76 is: 5,495.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.66 : 9,613.28 = 3,981.76 : x
  2. Step 2: Convert to fraction form
    6,965.66/9,613.28 = 3,981.76/x
  3. Step 3: Cross multiply
    6,965.66x = 9,613.28 × 3,981.76
  4. Step 4: Simplify right side
    6,965.66x = 38,277,759.69
  5. Step 5: Solve for x
    x = 38,277,759.69/6,965.66
  6. Step 6: Final answer
    x = 5,495.21

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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.