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Finding the Fourth Proportional to 9,103.41, 13,656.99 and 3,838.44

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Solution

The fourth proportional to 9,103.41, 13,656.99 and 3,838.44 is: 5,758.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,103.41 : 13,656.99 = 3,838.44 : x
  2. Step 2: Convert to fraction form
    9,103.41/13,656.99 = 3,838.44/x
  3. Step 3: Cross multiply
    9,103.41x = 13,656.99 × 3,838.44
  4. Step 4: Simplify right side
    9,103.41x = 52,421,524.42
  5. Step 5: Solve for x
    x = 52,421,524.42/9,103.41
  6. Step 6: Final answer
    x = 5,758.45

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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.