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Finding the Fourth Proportional to 6,613.49, 9,123.46 and 3,960.38

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Solution

The fourth proportional to 6,613.49, 9,123.46 and 3,960.38 is: 5,463.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,613.49 : 9,123.46 = 3,960.38 : x
  2. Step 2: Convert to fraction form
    6,613.49/9,123.46 = 3,960.38/x
  3. Step 3: Cross multiply
    6,613.49x = 9,123.46 × 3,960.38
  4. Step 4: Simplify right side
    6,613.49x = 36,132,381.42
  5. Step 5: Solve for x
    x = 36,132,381.42/6,613.49
  6. Step 6: Final answer
    x = 5,463.43

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Why These Related Problems?

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