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Finding the Fourth Proportional to 6,409.72, 9,614.52 and 2,027.18

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Solution

The fourth proportional to 6,409.72, 9,614.52 and 2,027.18 is: 3,040.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.72 : 9,614.52 = 2,027.18 : x
  2. Step 2: Convert to fraction form
    6,409.72/9,614.52 = 2,027.18/x
  3. Step 3: Cross multiply
    6,409.72x = 9,614.52 × 2,027.18
  4. Step 4: Simplify right side
    6,409.72x = 19,490,362.65
  5. Step 5: Solve for x
    x = 19,490,362.65/6,409.72
  6. Step 6: Final answer
    x = 3,040.75

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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.