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Finding the Fourth Proportional to 6,817.13, 9,404.30 and 4,159.92

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Solution

The fourth proportional to 6,817.13, 9,404.30 and 4,159.92 is: 5,738.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.13 : 9,404.30 = 4,159.92 : x
  2. Step 2: Convert to fraction form
    6,817.13/9,404.30 = 4,159.92/x
  3. Step 3: Cross multiply
    6,817.13x = 9,404.30 × 4,159.92
  4. Step 4: Simplify right side
    6,817.13x = 39,121,181.32
  5. Step 5: Solve for x
    x = 39,121,181.32/6,817.13
  6. Step 6: Final answer
    x = 5,738.66

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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.