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Finding the Fourth Proportional to 6,174.39, 9,263.97 and 3,710.98

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Solution

The fourth proportional to 6,174.39, 9,263.97 and 3,710.98 is: 5,567.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.39 : 9,263.97 = 3,710.98 : x
  2. Step 2: Convert to fraction form
    6,174.39/9,263.97 = 3,710.98/x
  3. Step 3: Cross multiply
    6,174.39x = 9,263.97 × 3,710.98
  4. Step 4: Simplify right side
    6,174.39x = 34,378,418.97
  5. Step 5: Solve for x
    x = 34,378,418.97/6,174.39
  6. Step 6: Final answer
    x = 5,567.90

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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.