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Finding the Fourth Proportional to 6,269.80, 9,407.40 and 3,191.80

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Solution

The fourth proportional to 6,269.80, 9,407.40 and 3,191.80 is: 4,789.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.80 : 9,407.40 = 3,191.80 : x
  2. Step 2: Convert to fraction form
    6,269.80/9,407.40 = 3,191.80/x
  3. Step 3: Cross multiply
    6,269.80x = 9,407.40 × 3,191.80
  4. Step 4: Simplify right side
    6,269.80x = 30,026,539.32
  5. Step 5: Solve for x
    x = 30,026,539.32/6,269.80
  6. Step 6: Final answer
    x = 4,789.07

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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.