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Finding the Fourth Proportional to 6,966.05, 9,613.51 and 3,822.23

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Solution

The fourth proportional to 6,966.05, 9,613.51 and 3,822.23 is: 5,274.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.05 : 9,613.51 = 3,822.23 : x
  2. Step 2: Convert to fraction form
    6,966.05/9,613.51 = 3,822.23/x
  3. Step 3: Cross multiply
    6,966.05x = 9,613.51 × 3,822.23
  4. Step 4: Simplify right side
    6,966.05x = 36,745,060.81
  5. Step 5: Solve for x
    x = 36,745,060.81/6,966.05
  6. Step 6: Final answer
    x = 5,274.88

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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.