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Finding the Fourth Proportional to 6,114.10, 9,171.15 and 5,781.30

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Solution

The fourth proportional to 6,114.10, 9,171.15 and 5,781.30 is: 8,671.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.10 : 9,171.15 = 5,781.30 : x
  2. Step 2: Convert to fraction form
    6,114.10/9,171.15 = 5,781.30/x
  3. Step 3: Cross multiply
    6,114.10x = 9,171.15 × 5,781.30
  4. Step 4: Simplify right side
    6,114.10x = 53,021,169.50
  5. Step 5: Solve for x
    x = 53,021,169.50/6,114.10
  6. Step 6: Final answer
    x = 8,671.95

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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.