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Finding the Fourth Proportional to 6,400.87, 9,601.31 and 2,018.67

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Solution

The fourth proportional to 6,400.87, 9,601.31 and 2,018.67 is: 3,028.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.87 : 9,601.31 = 2,018.67 : x
  2. Step 2: Convert to fraction form
    6,400.87/9,601.31 = 2,018.67/x
  3. Step 3: Cross multiply
    6,400.87x = 9,601.31 × 2,018.67
  4. Step 4: Simplify right side
    6,400.87x = 19,381,893.83
  5. Step 5: Solve for x
    x = 19,381,893.83/6,400.87
  6. Step 6: Final answer
    x = 3,028.01

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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.