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Finding the Fourth Proportional to 7,083.97, 9,778.17 and 6,336.61

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Solution

The fourth proportional to 7,083.97, 9,778.17 and 6,336.61 is: 8,746.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.97 : 9,778.17 = 6,336.61 : x
  2. Step 2: Convert to fraction form
    7,083.97/9,778.17 = 6,336.61/x
  3. Step 3: Cross multiply
    7,083.97x = 9,778.17 × 6,336.61
  4. Step 4: Simplify right side
    7,083.97x = 61,960,449.80
  5. Step 5: Solve for x
    x = 61,960,449.80/7,083.97
  6. Step 6: Final answer
    x = 8,746.57

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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.