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Finding the Fourth Proportional to 9,862.97, 13,610.77 and 6,084.61

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Solution

The fourth proportional to 9,862.97, 13,610.77 and 6,084.61 is: 8,396.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.97 : 13,610.77 = 6,084.61 : x
  2. Step 2: Convert to fraction form
    9,862.97/13,610.77 = 6,084.61/x
  3. Step 3: Cross multiply
    9,862.97x = 13,610.77 × 6,084.61
  4. Step 4: Simplify right side
    9,862.97x = 82,816,178.01
  5. Step 5: Solve for x
    x = 82,816,178.01/9,862.97
  6. Step 6: Final answer
    x = 8,396.68

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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.