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Finding the Fourth Proportional to 6,178.71, 9,265.26 and 2,667.06

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Solution

The fourth proportional to 6,178.71, 9,265.26 and 2,667.06 is: 3,999.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.71 : 9,265.26 = 2,667.06 : x
  2. Step 2: Convert to fraction form
    6,178.71/9,265.26 = 2,667.06/x
  3. Step 3: Cross multiply
    6,178.71x = 9,265.26 × 2,667.06
  4. Step 4: Simplify right side
    6,178.71x = 24,711,004.34
  5. Step 5: Solve for x
    x = 24,711,004.34/6,178.71
  6. Step 6: Final answer
    x = 3,999.38

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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.