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Finding the Fourth Proportional to 9,419.14, 12,998.14 and 5,170.18

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Solution

The fourth proportional to 9,419.14, 12,998.14 and 5,170.18 is: 7,134.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.14 : 12,998.14 = 5,170.18 : x
  2. Step 2: Convert to fraction form
    9,419.14/12,998.14 = 5,170.18/x
  3. Step 3: Cross multiply
    9,419.14x = 12,998.14 × 5,170.18
  4. Step 4: Simplify right side
    9,419.14x = 67,202,723.47
  5. Step 5: Solve for x
    x = 67,202,723.47/9,419.14
  6. Step 6: Final answer
    x = 7,134.70

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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.