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Finding the Fourth Proportional to 9,052.20, 13,578.30 and 6,865.20

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Solution

The fourth proportional to 9,052.20, 13,578.30 and 6,865.20 is: 10,297.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,052.20 : 13,578.30 = 6,865.20 : x
  2. Step 2: Convert to fraction form
    9,052.20/13,578.30 = 6,865.20/x
  3. Step 3: Cross multiply
    9,052.20x = 13,578.30 × 6,865.20
  4. Step 4: Simplify right side
    9,052.20x = 93,217,745.16
  5. Step 5: Solve for x
    x = 93,217,745.16/9,052.20
  6. Step 6: Final answer
    x = 10,297.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.