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Finding the Fourth Proportional to 9,679.71, 14,519.57 and 6,763.71

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Solution

The fourth proportional to 9,679.71, 14,519.57 and 6,763.71 is: 10,145.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.71 : 14,519.57 = 6,763.71 : x
  2. Step 2: Convert to fraction form
    9,679.71/14,519.57 = 6,763.71/x
  3. Step 3: Cross multiply
    9,679.71x = 14,519.57 × 6,763.71
  4. Step 4: Simplify right side
    9,679.71x = 98,206,126.99
  5. Step 5: Solve for x
    x = 98,206,126.99/9,679.71
  6. Step 6: Final answer
    x = 10,145.57

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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.