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Finding the Fourth Proportional to 6,191.22, 9,278.10 and 3,419.14

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Solution

The fourth proportional to 6,191.22, 9,278.10 and 3,419.14 is: 5,123.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.22 : 9,278.10 = 3,419.14 : x
  2. Step 2: Convert to fraction form
    6,191.22/9,278.10 = 3,419.14/x
  3. Step 3: Cross multiply
    6,191.22x = 9,278.10 × 3,419.14
  4. Step 4: Simplify right side
    6,191.22x = 31,723,122.83
  5. Step 5: Solve for x
    x = 31,723,122.83/6,191.22
  6. Step 6: Final answer
    x = 5,123.89

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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.