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Finding the Fourth Proportional to 6,373.68, 9,552.48 and 2,674

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Solution

The fourth proportional to 6,373.68, 9,552.48 and 2,674 is: 4,007.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,373.68 : 9,552.48 = 2,674 : x
  2. Step 2: Convert to fraction form
    6,373.68/9,552.48 = 2,674/x
  3. Step 3: Cross multiply
    6,373.68x = 9,552.48 × 2,674
  4. Step 4: Simplify right side
    6,373.68x = 25,543,331.52
  5. Step 5: Solve for x
    x = 25,543,331.52/6,373.68
  6. Step 6: Final answer
    x = 4,007.63

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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.