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Finding the Fourth Proportional to 6,103.49, 9,154.61 and 4,141.72

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Solution

The fourth proportional to 6,103.49, 9,154.61 and 4,141.72 is: 6,212.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.49 : 9,154.61 = 4,141.72 : x
  2. Step 2: Convert to fraction form
    6,103.49/9,154.61 = 4,141.72/x
  3. Step 3: Cross multiply
    6,103.49x = 9,154.61 × 4,141.72
  4. Step 4: Simplify right side
    6,103.49x = 37,915,764.85
  5. Step 5: Solve for x
    x = 37,915,764.85/6,103.49
  6. Step 6: Final answer
    x = 6,212.14

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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.