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Finding the Fourth Proportional to 6,174.72, 9,261.84 and 2,277.36

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Solution

The fourth proportional to 6,174.72, 9,261.84 and 2,277.36 is: 3,415.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.72 : 9,261.84 = 2,277.36 : x
  2. Step 2: Convert to fraction form
    6,174.72/9,261.84 = 2,277.36/x
  3. Step 3: Cross multiply
    6,174.72x = 9,261.84 × 2,277.36
  4. Step 4: Simplify right side
    6,174.72x = 21,092,543.94
  5. Step 5: Solve for x
    x = 21,092,543.94/6,174.72
  6. Step 6: Final answer
    x = 3,415.95

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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.