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Finding the Fourth Proportional to 9,496.71, 13,086.94 and 6,839.10

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Solution

The fourth proportional to 9,496.71, 13,086.94 and 6,839.10 is: 9,424.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.71 : 13,086.94 = 6,839.10 : x
  2. Step 2: Convert to fraction form
    9,496.71/13,086.94 = 6,839.10/x
  3. Step 3: Cross multiply
    9,496.71x = 13,086.94 × 6,839.10
  4. Step 4: Simplify right side
    9,496.71x = 89,502,891.35
  5. Step 5: Solve for x
    x = 89,502,891.35/9,496.71
  6. Step 6: Final answer
    x = 9,424.62

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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.