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Finding the Fourth Proportional to 6,135.20, 9,202.80 and 4,752.80

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Solution

The fourth proportional to 6,135.20, 9,202.80 and 4,752.80 is: 7,129.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135.20 : 9,202.80 = 4,752.80 : x
  2. Step 2: Convert to fraction form
    6,135.20/9,202.80 = 4,752.80/x
  3. Step 3: Cross multiply
    6,135.20x = 9,202.80 × 4,752.80
  4. Step 4: Simplify right side
    6,135.20x = 43,739,067.84
  5. Step 5: Solve for x
    x = 43,739,067.84/6,135.20
  6. Step 6: Final answer
    x = 7,129.20

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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.