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Finding the Fourth Proportional to 6,154.39, 9,239.78 and 5,235.85

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Solution

The fourth proportional to 6,154.39, 9,239.78 and 5,235.85 is: 7,860.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.39 : 9,239.78 = 5,235.85 : x
  2. Step 2: Convert to fraction form
    6,154.39/9,239.78 = 5,235.85/x
  3. Step 3: Cross multiply
    6,154.39x = 9,239.78 × 5,235.85
  4. Step 4: Simplify right side
    6,154.39x = 48,378,055.91
  5. Step 5: Solve for x
    x = 48,378,055.91/6,154.39
  6. Step 6: Final answer
    x = 7,860.75

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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.