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Finding the Fourth Proportional to 9,148.69, 12,626.31 and 5,965.39

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Solution

The fourth proportional to 9,148.69, 12,626.31 and 5,965.39 is: 8,232.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.69 : 12,626.31 = 5,965.39 : x
  2. Step 2: Convert to fraction form
    9,148.69/12,626.31 = 5,965.39/x
  3. Step 3: Cross multiply
    9,148.69x = 12,626.31 × 5,965.39
  4. Step 4: Simplify right side
    9,148.69x = 75,320,863.41
  5. Step 5: Solve for x
    x = 75,320,863.41/9,148.69
  6. Step 6: Final answer
    x = 8,232.97

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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.