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Finding the Fourth Proportional to 6,401.38, 9,586.59 and 5,297.62

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Solution

The fourth proportional to 6,401.38, 9,586.59 and 5,297.62 is: 7,933.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.38 : 9,586.59 = 5,297.62 : x
  2. Step 2: Convert to fraction form
    6,401.38/9,586.59 = 5,297.62/x
  3. Step 3: Cross multiply
    6,401.38x = 9,586.59 × 5,297.62
  4. Step 4: Simplify right side
    6,401.38x = 50,786,110.92
  5. Step 5: Solve for x
    x = 50,786,110.92/6,401.38
  6. Step 6: Final answer
    x = 7,933.62

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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.