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Finding the Fourth Proportional to 9,419.09, 12,998.68 and 5,170.23

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Solution

The fourth proportional to 9,419.09, 12,998.68 and 5,170.23 is: 7,135.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.09 : 12,998.68 = 5,170.23 : x
  2. Step 2: Convert to fraction form
    9,419.09/12,998.68 = 5,170.23/x
  3. Step 3: Cross multiply
    9,419.09x = 12,998.68 × 5,170.23
  4. Step 4: Simplify right side
    9,419.09x = 67,206,152.37
  5. Step 5: Solve for x
    x = 67,206,152.37/9,419.09
  6. Step 6: Final answer
    x = 7,135.10

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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.