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Finding the Fourth Proportional to 6,344.86, 9,514.86 and 4,391.14

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Solution

The fourth proportional to 6,344.86, 9,514.86 and 4,391.14 is: 6,585.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.86 : 9,514.86 = 4,391.14 : x
  2. Step 2: Convert to fraction form
    6,344.86/9,514.86 = 4,391.14/x
  3. Step 3: Cross multiply
    6,344.86x = 9,514.86 × 4,391.14
  4. Step 4: Simplify right side
    6,344.86x = 41,781,082.34
  5. Step 5: Solve for x
    x = 41,781,082.34/6,344.86
  6. Step 6: Final answer
    x = 6,585.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.