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Finding the Fourth Proportional to 6,400.56, 9,588.06 and 3,940.17

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Solution

The fourth proportional to 6,400.56, 9,588.06 and 3,940.17 is: 5,902.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.56 : 9,588.06 = 3,940.17 : x
  2. Step 2: Convert to fraction form
    6,400.56/9,588.06 = 3,940.17/x
  3. Step 3: Cross multiply
    6,400.56x = 9,588.06 × 3,940.17
  4. Step 4: Simplify right side
    6,400.56x = 37,778,586.37
  5. Step 5: Solve for x
    x = 37,778,586.37/6,400.56
  6. Step 6: Final answer
    x = 5,902.39

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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.