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Finding the Fourth Proportional to 6,235.20, 9,352.80 and 4,825.80

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Solution

The fourth proportional to 6,235.20, 9,352.80 and 4,825.80 is: 7,238.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,235.20 : 9,352.80 = 4,825.80 : x
  2. Step 2: Convert to fraction form
    6,235.20/9,352.80 = 4,825.80/x
  3. Step 3: Cross multiply
    6,235.20x = 9,352.80 × 4,825.80
  4. Step 4: Simplify right side
    6,235.20x = 45,134,742.24
  5. Step 5: Solve for x
    x = 45,134,742.24/6,235.20
  6. Step 6: Final answer
    x = 7,238.70

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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.