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Finding the Fourth Proportional to 6,107.48, 9,154.96 and 2,408.21

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Solution

The fourth proportional to 6,107.48, 9,154.96 and 2,408.21 is: 3,609.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.48 : 9,154.96 = 2,408.21 : x
  2. Step 2: Convert to fraction form
    6,107.48/9,154.96 = 2,408.21/x
  3. Step 3: Cross multiply
    6,107.48x = 9,154.96 × 2,408.21
  4. Step 4: Simplify right side
    6,107.48x = 22,047,014.43
  5. Step 5: Solve for x
    x = 22,047,014.43/6,107.48
  6. Step 6: Final answer
    x = 3,609.84

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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.