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Finding the Fourth Proportional to 9,419.42, 12,998.48 and 6,062.38

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Solution

The fourth proportional to 9,419.42, 12,998.48 and 6,062.38 is: 8,365.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.42 : 12,998.48 = 6,062.38 : x
  2. Step 2: Convert to fraction form
    9,419.42/12,998.48 = 6,062.38/x
  3. Step 3: Cross multiply
    9,419.42x = 12,998.48 × 6,062.38
  4. Step 4: Simplify right side
    9,419.42x = 78,801,662.37
  5. Step 5: Solve for x
    x = 78,801,662.37/9,419.42
  6. Step 6: Final answer
    x = 8,365.87

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Why These Related Problems?

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