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Finding the Fourth Proportional to 6,294.05, 9,441.09 and 2,134.10

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Solution

The fourth proportional to 6,294.05, 9,441.09 and 2,134.10 is: 3,201.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.05 : 9,441.09 = 2,134.10 : x
  2. Step 2: Convert to fraction form
    6,294.05/9,441.09 = 2,134.10/x
  3. Step 3: Cross multiply
    6,294.05x = 9,441.09 × 2,134.10
  4. Step 4: Simplify right side
    6,294.05x = 20,148,182.96
  5. Step 5: Solve for x
    x = 20,148,182.96/6,294.05
  6. Step 6: Final answer
    x = 3,201.15

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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.