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Finding the Fourth Proportional to 6,965.62, 9,613.06 and 3,981.40

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Solution

The fourth proportional to 6,965.62, 9,613.06 and 3,981.40 is: 5,494.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.62 : 9,613.06 = 3,981.40 : x
  2. Step 2: Convert to fraction form
    6,965.62/9,613.06 = 3,981.40/x
  3. Step 3: Cross multiply
    6,965.62x = 9,613.06 × 3,981.40
  4. Step 4: Simplify right side
    6,965.62x = 38,273,437.08
  5. Step 5: Solve for x
    x = 38,273,437.08/6,965.62
  6. Step 6: Final answer
    x = 5,494.62

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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.