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Finding the Fourth Proportional to 6,439.84, 9,661.14 and 3,667.84

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Solution

The fourth proportional to 6,439.84, 9,661.14 and 3,667.84 is: 5,502.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.84 : 9,661.14 = 3,667.84 : x
  2. Step 2: Convert to fraction form
    6,439.84/9,661.14 = 3,667.84/x
  3. Step 3: Cross multiply
    6,439.84x = 9,661.14 × 3,667.84
  4. Step 4: Simplify right side
    6,439.84x = 35,435,515.74
  5. Step 5: Solve for x
    x = 35,435,515.74/6,439.84
  6. Step 6: Final answer
    x = 5,502.55

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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.