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Finding the Fourth Proportional to 9,419.67, 14,107.05 and 5,249.34

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Solution

The fourth proportional to 9,419.67, 14,107.05 and 5,249.34 is: 7,861.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.67 : 14,107.05 = 5,249.34 : x
  2. Step 2: Convert to fraction form
    9,419.67/14,107.05 = 5,249.34/x
  3. Step 3: Cross multiply
    9,419.67x = 14,107.05 × 5,249.34
  4. Step 4: Simplify right side
    9,419.67x = 74,052,701.85
  5. Step 5: Solve for x
    x = 74,052,701.85/9,419.67
  6. Step 6: Final answer
    x = 7,861.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.