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Finding the Fourth Proportional to 8,746.39, 12,067 and 6,092.83

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Solution

The fourth proportional to 8,746.39, 12,067 and 6,092.83 is: 8,406.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,746.39 : 12,067 = 6,092.83 : x
  2. Step 2: Convert to fraction form
    8,746.39/12,067 = 6,092.83/x
  3. Step 3: Cross multiply
    8,746.39x = 12,067 × 6,092.83
  4. Step 4: Simplify right side
    8,746.39x = 73,522,179.61
  5. Step 5: Solve for x
    x = 73,522,179.61/8,746.39
  6. Step 6: Final answer
    x = 8,406.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.