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Finding the Fourth Proportional to 6,262.83, 9,385.92 and 3,295.20

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Solution

The fourth proportional to 6,262.83, 9,385.92 and 3,295.20 is: 4,938.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262.83 : 9,385.92 = 3,295.20 : x
  2. Step 2: Convert to fraction form
    6,262.83/9,385.92 = 3,295.20/x
  3. Step 3: Cross multiply
    6,262.83x = 9,385.92 × 3,295.20
  4. Step 4: Simplify right side
    6,262.83x = 30,928,483.58
  5. Step 5: Solve for x
    x = 30,928,483.58/6,262.83
  6. Step 6: Final answer
    x = 4,938.42

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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.