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Finding the Fourth Proportional to 6,073.49, 9,113.14 and 3,151.80

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Solution

The fourth proportional to 6,073.49, 9,113.14 and 3,151.80 is: 4,729.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,073.49 : 9,113.14 = 3,151.80 : x
  2. Step 2: Convert to fraction form
    6,073.49/9,113.14 = 3,151.80/x
  3. Step 3: Cross multiply
    6,073.49x = 9,113.14 × 3,151.80
  4. Step 4: Simplify right side
    6,073.49x = 28,722,794.65
  5. Step 5: Solve for x
    x = 28,722,794.65/6,073.49
  6. Step 6: Final answer
    x = 4,729.21

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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.