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Finding the Fourth Proportional to 9,419.02, 12,997.80 and 5,169.98

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Solution

The fourth proportional to 9,419.02, 12,997.80 and 5,169.98 is: 7,134.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.02 : 12,997.80 = 5,169.98 : x
  2. Step 2: Convert to fraction form
    9,419.02/12,997.80 = 5,169.98/x
  3. Step 3: Cross multiply
    9,419.02x = 12,997.80 × 5,169.98
  4. Step 4: Simplify right side
    9,419.02x = 67,198,398.54
  5. Step 5: Solve for x
    x = 67,198,398.54/9,419.02
  6. Step 6: Final answer
    x = 7,134.33

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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.