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Finding the Fourth Proportional to 9,986.07, 13,767.98 and 8,187.03

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Solution

The fourth proportional to 9,986.07, 13,767.98 and 8,187.03 is: 11,287.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.07 : 13,767.98 = 8,187.03 : x
  2. Step 2: Convert to fraction form
    9,986.07/13,767.98 = 8,187.03/x
  3. Step 3: Cross multiply
    9,986.07x = 13,767.98 × 8,187.03
  4. Step 4: Simplify right side
    9,986.07x = 112,718,885.77
  5. Step 5: Solve for x
    x = 112,718,885.77/9,986.07
  6. Step 6: Final answer
    x = 11,287.61

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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.