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Finding the Fourth Proportional to 6,144.18, 9,211.05 and 2,859.18

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Solution

The fourth proportional to 6,144.18, 9,211.05 and 2,859.18 is: 4,286.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.18 : 9,211.05 = 2,859.18 : x
  2. Step 2: Convert to fraction form
    6,144.18/9,211.05 = 2,859.18/x
  3. Step 3: Cross multiply
    6,144.18x = 9,211.05 × 2,859.18
  4. Step 4: Simplify right side
    6,144.18x = 26,336,083.69
  5. Step 5: Solve for x
    x = 26,336,083.69/6,144.18
  6. Step 6: Final answer
    x = 4,286.34

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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.