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Finding the Fourth Proportional to 9,265.68, 13,889.39 and 6,146.60

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Solution

The fourth proportional to 9,265.68, 13,889.39 and 6,146.60 is: 9,213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.68 : 13,889.39 = 6,146.60 : x
  2. Step 2: Convert to fraction form
    9,265.68/13,889.39 = 6,146.60/x
  3. Step 3: Cross multiply
    9,265.68x = 13,889.39 × 6,146.60
  4. Step 4: Simplify right side
    9,265.68x = 85,372,424.39
  5. Step 5: Solve for x
    x = 85,372,424.39/9,265.68
  6. Step 6: Final answer
    x = 9,213.83

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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.