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Finding the Fourth Proportional to 9,101.97, 13,656.29 and 3,838.31

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Solution

The fourth proportional to 9,101.97, 13,656.29 and 3,838.31 is: 5,758.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.97 : 13,656.29 = 3,838.31 : x
  2. Step 2: Convert to fraction form
    9,101.97/13,656.29 = 3,838.31/x
  3. Step 3: Cross multiply
    9,101.97x = 13,656.29 × 3,838.31
  4. Step 4: Simplify right side
    9,101.97x = 52,417,015.78
  5. Step 5: Solve for x
    x = 52,417,015.78/9,101.97
  6. Step 6: Final answer
    x = 5,758.86

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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.