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Finding the Fourth Proportional to 9,103.42, 13,660.43 and 3,838.11

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Solution

The fourth proportional to 9,103.42, 13,660.43 and 3,838.11 is: 5,759.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,103.42 : 13,660.43 = 3,838.11 : x
  2. Step 2: Convert to fraction form
    9,103.42/13,660.43 = 3,838.11/x
  3. Step 3: Cross multiply
    9,103.42x = 13,660.43 × 3,838.11
  4. Step 4: Simplify right side
    9,103.42x = 52,430,232.99
  5. Step 5: Solve for x
    x = 52,430,232.99/9,103.42
  6. Step 6: Final answer
    x = 5,759.40

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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.