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Finding the Fourth Proportional to 6,144.41, 9,211.08 and 4,170.71

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Solution

The fourth proportional to 6,144.41, 9,211.08 and 4,170.71 is: 6,252.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.41 : 9,211.08 = 4,170.71 : x
  2. Step 2: Convert to fraction form
    6,144.41/9,211.08 = 4,170.71/x
  3. Step 3: Cross multiply
    6,144.41x = 9,211.08 × 4,170.71
  4. Step 4: Simplify right side
    6,144.41x = 38,416,743.47
  5. Step 5: Solve for x
    x = 38,416,743.47/6,144.41
  6. Step 6: Final answer
    x = 6,252.31

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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.