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Finding the Fourth Proportional to 7,814.62, 10,789.20 and 6,973.88

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Solution

The fourth proportional to 7,814.62, 10,789.20 and 6,973.88 is: 9,628.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.62 : 10,789.20 = 6,973.88 : x
  2. Step 2: Convert to fraction form
    7,814.62/10,789.20 = 6,973.88/x
  3. Step 3: Cross multiply
    7,814.62x = 10,789.20 × 6,973.88
  4. Step 4: Simplify right side
    7,814.62x = 75,242,586.10
  5. Step 5: Solve for x
    x = 75,242,586.10/7,814.62
  6. Step 6: Final answer
    x = 9,628.44

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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.