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Finding the Fourth Proportional to 6,948.85, 9,589.03 and 3,804.43

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Solution

The fourth proportional to 6,948.85, 9,589.03 and 3,804.43 is: 5,249.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.85 : 9,589.03 = 3,804.43 : x
  2. Step 2: Convert to fraction form
    6,948.85/9,589.03 = 3,804.43/x
  3. Step 3: Cross multiply
    6,948.85x = 9,589.03 × 3,804.43
  4. Step 4: Simplify right side
    6,948.85x = 36,480,793.40
  5. Step 5: Solve for x
    x = 36,480,793.40/6,948.85
  6. Step 6: Final answer
    x = 5,249.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.