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Finding the Fourth Proportional to 9,863.34, 13,613.16 and 5,830

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Solution

The fourth proportional to 9,863.34, 13,613.16 and 5,830 is: 8,046.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.34 : 13,613.16 = 5,830 : x
  2. Step 2: Convert to fraction form
    9,863.34/13,613.16 = 5,830/x
  3. Step 3: Cross multiply
    9,863.34x = 13,613.16 × 5,830
  4. Step 4: Simplify right side
    9,863.34x = 79,364,722.80
  5. Step 5: Solve for x
    x = 79,364,722.80/9,863.34
  6. Step 6: Final answer
    x = 8,046.43

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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.