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Finding the Fourth Proportional to 6,642.27, 9,170.15 and 4,407.21

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Solution

The fourth proportional to 6,642.27, 9,170.15 and 4,407.21 is: 6,084.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.27 : 9,170.15 = 4,407.21 : x
  2. Step 2: Convert to fraction form
    6,642.27/9,170.15 = 4,407.21/x
  3. Step 3: Cross multiply
    6,642.27x = 9,170.15 × 4,407.21
  4. Step 4: Simplify right side
    6,642.27x = 40,414,754.75
  5. Step 5: Solve for x
    x = 40,414,754.75/6,642.27
  6. Step 6: Final answer
    x = 6,084.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.