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Finding the Fourth Proportional to 9,912.26, 13,671.75 and 8,417.81

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Solution

The fourth proportional to 9,912.26, 13,671.75 and 8,417.81 is: 11,610.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.26 : 13,671.75 = 8,417.81 : x
  2. Step 2: Convert to fraction form
    9,912.26/13,671.75 = 8,417.81/x
  3. Step 3: Cross multiply
    9,912.26x = 13,671.75 × 8,417.81
  4. Step 4: Simplify right side
    9,912.26x = 115,086,259.61
  5. Step 5: Solve for x
    x = 115,086,259.61/9,912.26
  6. Step 6: Final answer
    x = 11,610.49

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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.