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Finding the Fourth Proportional to 6,103.47, 9,167.46 and 3,643.11

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Solution

The fourth proportional to 6,103.47, 9,167.46 and 3,643.11 is: 5,471.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.47 : 9,167.46 = 3,643.11 : x
  2. Step 2: Convert to fraction form
    6,103.47/9,167.46 = 3,643.11/x
  3. Step 3: Cross multiply
    6,103.47x = 9,167.46 × 3,643.11
  4. Step 4: Simplify right side
    6,103.47x = 33,398,065.20
  5. Step 5: Solve for x
    x = 33,398,065.20/6,103.47
  6. Step 6: Final answer
    x = 5,471.98

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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.