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Finding the Fourth Proportional to 9,786.71, 14,679.88 and 3,943.17

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Solution

The fourth proportional to 9,786.71, 14,679.88 and 3,943.17 is: 5,914.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.71 : 14,679.88 = 3,943.17 : x
  2. Step 2: Convert to fraction form
    9,786.71/14,679.88 = 3,943.17/x
  3. Step 3: Cross multiply
    9,786.71x = 14,679.88 × 3,943.17
  4. Step 4: Simplify right side
    9,786.71x = 57,885,262.42
  5. Step 5: Solve for x
    x = 57,885,262.42/9,786.71
  6. Step 6: Final answer
    x = 5,914.68

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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.