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Finding the Fourth Proportional to 6,249.70, 9,374.55 and 5,739.40

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Solution

The fourth proportional to 6,249.70, 9,374.55 and 5,739.40 is: 8,609.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,249.70 : 9,374.55 = 5,739.40 : x
  2. Step 2: Convert to fraction form
    6,249.70/9,374.55 = 5,739.40/x
  3. Step 3: Cross multiply
    6,249.70x = 9,374.55 × 5,739.40
  4. Step 4: Simplify right side
    6,249.70x = 53,804,292.27
  5. Step 5: Solve for x
    x = 53,804,292.27/6,249.70
  6. Step 6: Final answer
    x = 8,609.10

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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.