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Finding the Fourth Proportional to 6,148.62, 9,224.28 and 2,252.93

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Solution

The fourth proportional to 6,148.62, 9,224.28 and 2,252.93 is: 3,379.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.62 : 9,224.28 = 2,252.93 : x
  2. Step 2: Convert to fraction form
    6,148.62/9,224.28 = 2,252.93/x
  3. Step 3: Cross multiply
    6,148.62x = 9,224.28 × 2,252.93
  4. Step 4: Simplify right side
    6,148.62x = 20,781,611.02
  5. Step 5: Solve for x
    x = 20,781,611.02/6,148.62
  6. Step 6: Final answer
    x = 3,379.88

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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.