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Finding the Fourth Proportional to 6,294.31, 9,441.51 and 1,911.82

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Solution

The fourth proportional to 6,294.31, 9,441.51 and 1,911.82 is: 2,867.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.31 : 9,441.51 = 1,911.82 : x
  2. Step 2: Convert to fraction form
    6,294.31/9,441.51 = 1,911.82/x
  3. Step 3: Cross multiply
    6,294.31x = 9,441.51 × 1,911.82
  4. Step 4: Simplify right side
    6,294.31x = 18,050,467.65
  5. Step 5: Solve for x
    x = 18,050,467.65/6,294.31
  6. Step 6: Final answer
    x = 2,867.74

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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.