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Finding the Fourth Proportional to 6,138.90, 9,215.55 and 3,956.70

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Solution

The fourth proportional to 6,138.90, 9,215.55 and 3,956.70 is: 5,939.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.90 : 9,215.55 = 3,956.70 : x
  2. Step 2: Convert to fraction form
    6,138.90/9,215.55 = 3,956.70/x
  3. Step 3: Cross multiply
    6,138.90x = 9,215.55 × 3,956.70
  4. Step 4: Simplify right side
    6,138.90x = 36,463,166.69
  5. Step 5: Solve for x
    x = 36,463,166.69/6,138.90
  6. Step 6: Final answer
    x = 5,939.69

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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.