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Finding the Fourth Proportional to 6,144.64, 9,218.78 and 2,444.76

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Solution

The fourth proportional to 6,144.64, 9,218.78 and 2,444.76 is: 3,667.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.64 : 9,218.78 = 2,444.76 : x
  2. Step 2: Convert to fraction form
    6,144.64/9,218.78 = 2,444.76/x
  3. Step 3: Cross multiply
    6,144.64x = 9,218.78 × 2,444.76
  4. Step 4: Simplify right side
    6,144.64x = 22,537,704.59
  5. Step 5: Solve for x
    x = 22,537,704.59/6,144.64
  6. Step 6: Final answer
    x = 3,667.86

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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.