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Finding the Fourth Proportional to 6,144.68, 9,211.55 and 2,444.56

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Solution

The fourth proportional to 6,144.68, 9,211.55 and 2,444.56 is: 3,664.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.68 : 9,211.55 = 2,444.56 : x
  2. Step 2: Convert to fraction form
    6,144.68/9,211.55 = 2,444.56/x
  3. Step 3: Cross multiply
    6,144.68x = 9,211.55 × 2,444.56
  4. Step 4: Simplify right side
    6,144.68x = 22,518,151.42
  5. Step 5: Solve for x
    x = 22,518,151.42/6,144.68
  6. Step 6: Final answer
    x = 3,664.66

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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.