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Finding the Fourth Proportional to 6,114.13, 9,167.50 and 3,336.95

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Solution

The fourth proportional to 6,114.13, 9,167.50 and 3,336.95 is: 5,003.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.13 : 9,167.50 = 3,336.95 : x
  2. Step 2: Convert to fraction form
    6,114.13/9,167.50 = 3,336.95/x
  3. Step 3: Cross multiply
    6,114.13x = 9,167.50 × 3,336.95
  4. Step 4: Simplify right side
    6,114.13x = 30,591,445.88
  5. Step 5: Solve for x
    x = 30,591,445.88/6,114.13
  6. Step 6: Final answer
    x = 5,003.40

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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.