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Finding the Fourth Proportional to 6,667.39, 9,986.70 and 3,152.09

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Solution

The fourth proportional to 6,667.39, 9,986.70 and 3,152.09 is: 4,721.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,667.39 : 9,986.70 = 3,152.09 : x
  2. Step 2: Convert to fraction form
    6,667.39/9,986.70 = 3,152.09/x
  3. Step 3: Cross multiply
    6,667.39x = 9,986.70 × 3,152.09
  4. Step 4: Simplify right side
    6,667.39x = 31,478,977.20
  5. Step 5: Solve for x
    x = 31,478,977.20/6,667.39
  6. Step 6: Final answer
    x = 4,721.33

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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.