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Finding the Fourth Proportional to 9,101.48, 13,649.76 and 3,906.14

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Solution

The fourth proportional to 9,101.48, 13,649.76 and 3,906.14 is: 5,858.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.48 : 13,649.76 = 3,906.14 : x
  2. Step 2: Convert to fraction form
    9,101.48/13,649.76 = 3,906.14/x
  3. Step 3: Cross multiply
    9,101.48x = 13,649.76 × 3,906.14
  4. Step 4: Simplify right side
    9,101.48x = 53,317,873.53
  5. Step 5: Solve for x
    x = 53,317,873.53/9,101.48
  6. Step 6: Final answer
    x = 5,858.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.