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Finding the Fourth Proportional to 9,906.23, 13,671.78 and 6,131.90

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Solution

The fourth proportional to 9,906.23, 13,671.78 and 6,131.90 is: 8,462.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.23 : 13,671.78 = 6,131.90 : x
  2. Step 2: Convert to fraction form
    9,906.23/13,671.78 = 6,131.90/x
  3. Step 3: Cross multiply
    9,906.23x = 13,671.78 × 6,131.90
  4. Step 4: Simplify right side
    9,906.23x = 83,833,987.78
  5. Step 5: Solve for x
    x = 83,833,987.78/9,906.23
  6. Step 6: Final answer
    x = 8,462.75

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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.