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Finding the Fourth Proportional to 9,103.38, 13,656.29 and 3,181.47

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Solution

The fourth proportional to 9,103.38, 13,656.29 and 3,181.47 is: 4,772.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,103.38 : 13,656.29 = 3,181.47 : x
  2. Step 2: Convert to fraction form
    9,103.38/13,656.29 = 3,181.47/x
  3. Step 3: Cross multiply
    9,103.38x = 13,656.29 × 3,181.47
  4. Step 4: Simplify right side
    9,103.38x = 43,447,061.04
  5. Step 5: Solve for x
    x = 43,447,061.04/9,103.38
  6. Step 6: Final answer
    x = 4,772.63

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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.