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Finding the Fourth Proportional to 7,814.70, 10,789.33 and 6,973.96

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Solution

The fourth proportional to 7,814.70, 10,789.33 and 6,973.96 is: 9,628.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.70 : 10,789.33 = 6,973.96 : x
  2. Step 2: Convert to fraction form
    7,814.70/10,789.33 = 6,973.96/x
  3. Step 3: Cross multiply
    7,814.70x = 10,789.33 × 6,973.96
  4. Step 4: Simplify right side
    7,814.70x = 75,244,355.85
  5. Step 5: Solve for x
    x = 75,244,355.85/7,814.70
  6. Step 6: Final answer
    x = 9,628.57

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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.