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Finding the Fourth Proportional to 6,143.20, 9,211.56 and 2,444.20

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Solution

The fourth proportional to 6,143.20, 9,211.56 and 2,444.20 is: 3,665.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.20 : 9,211.56 = 2,444.20 : x
  2. Step 2: Convert to fraction form
    6,143.20/9,211.56 = 2,444.20/x
  3. Step 3: Cross multiply
    6,143.20x = 9,211.56 × 2,444.20
  4. Step 4: Simplify right side
    6,143.20x = 22,514,894.95
  5. Step 5: Solve for x
    x = 22,514,894.95/6,143.20
  6. Step 6: Final answer
    x = 3,665.01

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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.