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Finding the Fourth Proportional to 6,409.95, 9,615.33 and 2,249.79

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Solution

The fourth proportional to 6,409.95, 9,615.33 and 2,249.79 is: 3,374.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.95 : 9,615.33 = 2,249.79 : x
  2. Step 2: Convert to fraction form
    6,409.95/9,615.33 = 2,249.79/x
  3. Step 3: Cross multiply
    6,409.95x = 9,615.33 × 2,249.79
  4. Step 4: Simplify right side
    6,409.95x = 21,632,473.28
  5. Step 5: Solve for x
    x = 21,632,473.28/6,409.95
  6. Step 6: Final answer
    x = 3,374.83

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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.