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Finding the Fourth Proportional to 6,409.19, 9,618.47 and 3,291.79

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Solution

The fourth proportional to 6,409.19, 9,618.47 and 3,291.79 is: 4,940.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.19 : 9,618.47 = 3,291.79 : x
  2. Step 2: Convert to fraction form
    6,409.19/9,618.47 = 3,291.79/x
  3. Step 3: Cross multiply
    6,409.19x = 9,618.47 × 3,291.79
  4. Step 4: Simplify right side
    6,409.19x = 31,661,983.36
  5. Step 5: Solve for x
    x = 31,661,983.36/6,409.19
  6. Step 6: Final answer
    x = 4,940.09

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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.