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Finding the Fourth Proportional to 6,667.60, 9,203.88 and 5,967.76

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Solution

The fourth proportional to 6,667.60, 9,203.88 and 5,967.76 is: 8,237.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,667.60 : 9,203.88 = 5,967.76 : x
  2. Step 2: Convert to fraction form
    6,667.60/9,203.88 = 5,967.76/x
  3. Step 3: Cross multiply
    6,667.60x = 9,203.88 × 5,967.76
  4. Step 4: Simplify right side
    6,667.60x = 54,926,546.91
  5. Step 5: Solve for x
    x = 54,926,546.91/6,667.60
  6. Step 6: Final answer
    x = 8,237.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.