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Finding the Fourth Proportional to 6,175.34, 9,257.34 and 2,012.78

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Solution

The fourth proportional to 6,175.34, 9,257.34 and 2,012.78 is: 3,017.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.34 : 9,257.34 = 2,012.78 : x
  2. Step 2: Convert to fraction form
    6,175.34/9,257.34 = 2,012.78/x
  3. Step 3: Cross multiply
    6,175.34x = 9,257.34 × 2,012.78
  4. Step 4: Simplify right side
    6,175.34x = 18,632,988.81
  5. Step 5: Solve for x
    x = 18,632,988.81/6,175.34
  6. Step 6: Final answer
    x = 3,017.32

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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.