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Finding the Fourth Proportional to 6,114.30, 9,175.05 and 2,218.20

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Solution

The fourth proportional to 6,114.30, 9,175.05 and 2,218.20 is: 3,328.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.30 : 9,175.05 = 2,218.20 : x
  2. Step 2: Convert to fraction form
    6,114.30/9,175.05 = 2,218.20/x
  3. Step 3: Cross multiply
    6,114.30x = 9,175.05 × 2,218.20
  4. Step 4: Simplify right side
    6,114.30x = 20,352,095.91
  5. Step 5: Solve for x
    x = 20,352,095.91/6,114.30
  6. Step 6: Final answer
    x = 3,328.61

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