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Finding the Fourth Proportional to 6,292.86, 9,429.48 and 3,979.50

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Solution

The fourth proportional to 6,292.86, 9,429.48 and 3,979.50 is: 5,963.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.86 : 9,429.48 = 3,979.50 : x
  2. Step 2: Convert to fraction form
    6,292.86/9,429.48 = 3,979.50/x
  3. Step 3: Cross multiply
    6,292.86x = 9,429.48 × 3,979.50
  4. Step 4: Simplify right side
    6,292.86x = 37,524,615.66
  5. Step 5: Solve for x
    x = 37,524,615.66/6,292.86
  6. Step 6: Final answer
    x = 5,963.05

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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.