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Finding the Fourth Proportional to 9,926.70, 13,679.10 and 7,086.06

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Solution

The fourth proportional to 9,926.70, 13,679.10 and 7,086.06 is: 9,764.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,926.70 : 13,679.10 = 7,086.06 : x
  2. Step 2: Convert to fraction form
    9,926.70/13,679.10 = 7,086.06/x
  3. Step 3: Cross multiply
    9,926.70x = 13,679.10 × 7,086.06
  4. Step 4: Simplify right side
    9,926.70x = 96,930,923.35
  5. Step 5: Solve for x
    x = 96,930,923.35/9,926.70
  6. Step 6: Final answer
    x = 9,764.67

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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.