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Finding the Fourth Proportional to 6,614.73, 9,903.73 and 5,291.73

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Solution

The fourth proportional to 6,614.73, 9,903.73 and 5,291.73 is: 7,922.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.73 : 9,903.73 = 5,291.73 : x
  2. Step 2: Convert to fraction form
    6,614.73/9,903.73 = 5,291.73/x
  3. Step 3: Cross multiply
    6,614.73x = 9,903.73 × 5,291.73
  4. Step 4: Simplify right side
    6,614.73x = 52,407,865.15
  5. Step 5: Solve for x
    x = 52,407,865.15/6,614.73
  6. Step 6: Final answer
    x = 7,922.90

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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.