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Finding the Fourth Proportional to 5,962.32, 8,943.48 and 2,497.14

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Solution

The fourth proportional to 5,962.32, 8,943.48 and 2,497.14 is: 3,745.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,962.32 : 8,943.48 = 2,497.14 : x
  2. Step 2: Convert to fraction form
    5,962.32/8,943.48 = 2,497.14/x
  3. Step 3: Cross multiply
    5,962.32x = 8,943.48 × 2,497.14
  4. Step 4: Simplify right side
    5,962.32x = 22,333,121.65
  5. Step 5: Solve for x
    x = 22,333,121.65/5,962.32
  6. Step 6: Final answer
    x = 3,745.71

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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.