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Finding the Fourth Proportional to 6,294.26, 9,441.92 and 1,911.75

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Solution

The fourth proportional to 6,294.26, 9,441.92 and 1,911.75 is: 2,867.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.26 : 9,441.92 = 1,911.75 : x
  2. Step 2: Convert to fraction form
    6,294.26/9,441.92 = 1,911.75/x
  3. Step 3: Cross multiply
    6,294.26x = 9,441.92 × 1,911.75
  4. Step 4: Simplify right side
    6,294.26x = 18,050,602.29
  5. Step 5: Solve for x
    x = 18,050,602.29/6,294.26
  6. Step 6: Final answer
    x = 2,867.79

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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.