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Finding the Fourth Proportional to 9,109.88, 13,662.42 and 2,534.56

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Solution

The fourth proportional to 9,109.88, 13,662.42 and 2,534.56 is: 3,801.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.88 : 13,662.42 = 2,534.56 : x
  2. Step 2: Convert to fraction form
    9,109.88/13,662.42 = 2,534.56/x
  3. Step 3: Cross multiply
    9,109.88x = 13,662.42 × 2,534.56
  4. Step 4: Simplify right side
    9,109.88x = 34,628,223.24
  5. Step 5: Solve for x
    x = 34,628,223.24/9,109.88
  6. Step 6: Final answer
    x = 3,801.17

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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.