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Finding the Fourth Proportional to 9,297.80, 13,951.80 and 4,103.52

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Solution

The fourth proportional to 9,297.80, 13,951.80 and 4,103.52 is: 6,157.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.80 : 13,951.80 = 4,103.52 : x
  2. Step 2: Convert to fraction form
    9,297.80/13,951.80 = 4,103.52/x
  3. Step 3: Cross multiply
    9,297.80x = 13,951.80 × 4,103.52
  4. Step 4: Simplify right side
    9,297.80x = 57,251,490.34
  5. Step 5: Solve for x
    x = 57,251,490.34/9,297.80
  6. Step 6: Final answer
    x = 6,157.53

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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.