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Finding the Fourth Proportional to 9,419.50, 12,998.90 and 5,170.59

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Solution

The fourth proportional to 9,419.50, 12,998.90 and 5,170.59 is: 7,135.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.50 : 12,998.90 = 5,170.59 : x
  2. Step 2: Convert to fraction form
    9,419.50/12,998.90 = 5,170.59/x
  3. Step 3: Cross multiply
    9,419.50x = 12,998.90 × 5,170.59
  4. Step 4: Simplify right side
    9,419.50x = 67,211,982.35
  5. Step 5: Solve for x
    x = 67,211,982.35/9,419.50
  6. Step 6: Final answer
    x = 7,135.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.