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Finding the Fourth Proportional to 6,966.55, 9,613.58 and 3,982.21

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Solution

The fourth proportional to 6,966.55, 9,613.58 and 3,982.21 is: 5,495.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.55 : 9,613.58 = 3,982.21 : x
  2. Step 2: Convert to fraction form
    6,966.55/9,613.58 = 3,982.21/x
  3. Step 3: Cross multiply
    6,966.55x = 9,613.58 × 3,982.21
  4. Step 4: Simplify right side
    6,966.55x = 38,283,226.43
  5. Step 5: Solve for x
    x = 38,283,226.43/6,966.55
  6. Step 6: Final answer
    x = 5,495.30

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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.