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Finding the Fourth Proportional to 9,102.35, 13,656.86 and 3,838.68

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Solution

The fourth proportional to 9,102.35, 13,656.86 and 3,838.68 is: 5,759.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.35 : 13,656.86 = 3,838.68 : x
  2. Step 2: Convert to fraction form
    9,102.35/13,656.86 = 3,838.68/x
  3. Step 3: Cross multiply
    9,102.35x = 13,656.86 × 3,838.68
  4. Step 4: Simplify right side
    9,102.35x = 52,424,296.15
  5. Step 5: Solve for x
    x = 52,424,296.15/9,102.35
  6. Step 6: Final answer
    x = 5,759.43

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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.