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Finding the Fourth Proportional to 6,938.16, 10,393.80 and 6,162.48

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Solution

The fourth proportional to 6,938.16, 10,393.80 and 6,162.48 is: 9,231.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.16 : 10,393.80 = 6,162.48 : x
  2. Step 2: Convert to fraction form
    6,938.16/10,393.80 = 6,162.48/x
  3. Step 3: Cross multiply
    6,938.16x = 10,393.80 × 6,162.48
  4. Step 4: Simplify right side
    6,938.16x = 64,051,584.62
  5. Step 5: Solve for x
    x = 64,051,584.62/6,938.16
  6. Step 6: Final answer
    x = 9,231.78

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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.