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Finding the Fourth Proportional to 6,295.12, 9,442.80 and 2,597.80

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Solution

The fourth proportional to 6,295.12, 9,442.80 and 2,597.80 is: 3,896.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.12 : 9,442.80 = 2,597.80 : x
  2. Step 2: Convert to fraction form
    6,295.12/9,442.80 = 2,597.80/x
  3. Step 3: Cross multiply
    6,295.12x = 9,442.80 × 2,597.80
  4. Step 4: Simplify right side
    6,295.12x = 24,530,505.84
  5. Step 5: Solve for x
    x = 24,530,505.84/6,295.12
  6. Step 6: Final answer
    x = 3,896.75

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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.