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Finding the Fourth Proportional to 9,338.74, 12,899.74 and 6,976.78

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Solution

The fourth proportional to 9,338.74, 12,899.74 and 6,976.78 is: 9,637.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338.74 : 12,899.74 = 6,976.78 : x
  2. Step 2: Convert to fraction form
    9,338.74/12,899.74 = 6,976.78/x
  3. Step 3: Cross multiply
    9,338.74x = 12,899.74 × 6,976.78
  4. Step 4: Simplify right side
    9,338.74x = 89,998,648.04
  5. Step 5: Solve for x
    x = 89,998,648.04/9,338.74
  6. Step 6: Final answer
    x = 9,637.13

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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.