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Finding the Fourth Proportional to 9,881.44, 13,649.70 and 7,906.12

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Solution

The fourth proportional to 9,881.44, 13,649.70 and 7,906.12 is: 10,921.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.44 : 13,649.70 = 7,906.12 : x
  2. Step 2: Convert to fraction form
    9,881.44/13,649.70 = 7,906.12/x
  3. Step 3: Cross multiply
    9,881.44x = 13,649.70 × 7,906.12
  4. Step 4: Simplify right side
    9,881.44x = 107,916,166.16
  5. Step 5: Solve for x
    x = 107,916,166.16/9,881.44
  6. Step 6: Final answer
    x = 10,921.10

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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.