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Finding the Fourth Proportional to 6,290.70, 9,436.14 and 2,778.90

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Solution

The fourth proportional to 6,290.70, 9,436.14 and 2,778.90 is: 4,168.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290.70 : 9,436.14 = 2,778.90 : x
  2. Step 2: Convert to fraction form
    6,290.70/9,436.14 = 2,778.90/x
  3. Step 3: Cross multiply
    6,290.70x = 9,436.14 × 2,778.90
  4. Step 4: Simplify right side
    6,290.70x = 26,222,089.45
  5. Step 5: Solve for x
    x = 26,222,089.45/6,290.70
  6. Step 6: Final answer
    x = 4,168.39

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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.