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Finding the Fourth Proportional to 6,292.35, 9,431.37 and 3,174.66

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Solution

The fourth proportional to 6,292.35, 9,431.37 and 3,174.66 is: 4,758.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.35 : 9,431.37 = 3,174.66 : x
  2. Step 2: Convert to fraction form
    6,292.35/9,431.37 = 3,174.66/x
  3. Step 3: Cross multiply
    6,292.35x = 9,431.37 × 3,174.66
  4. Step 4: Simplify right side
    6,292.35x = 29,941,393.08
  5. Step 5: Solve for x
    x = 29,941,393.08/6,292.35
  6. Step 6: Final answer
    x = 4,758.38

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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.