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Finding the Fourth Proportional to 6,400.65, 9,601.28 and 2,018.45

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Solution

The fourth proportional to 6,400.65, 9,601.28 and 2,018.45 is: 3,027.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.65 : 9,601.28 = 2,018.45 : x
  2. Step 2: Convert to fraction form
    6,400.65/9,601.28 = 2,018.45/x
  3. Step 3: Cross multiply
    6,400.65x = 9,601.28 × 2,018.45
  4. Step 4: Simplify right side
    6,400.65x = 19,379,645.52
  5. Step 5: Solve for x
    x = 19,379,645.52/6,400.65
  6. Step 6: Final answer
    x = 3,027.76

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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.