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Finding the Fourth Proportional to 6,295.20, 9,442.80 and 2,596.20

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Solution

The fourth proportional to 6,295.20, 9,442.80 and 2,596.20 is: 3,894.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.20 : 9,442.80 = 2,596.20 : x
  2. Step 2: Convert to fraction form
    6,295.20/9,442.80 = 2,596.20/x
  3. Step 3: Cross multiply
    6,295.20x = 9,442.80 × 2,596.20
  4. Step 4: Simplify right side
    6,295.20x = 24,515,397.36
  5. Step 5: Solve for x
    x = 24,515,397.36/6,295.20
  6. Step 6: Final answer
    x = 3,894.30

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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.