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Finding the Fourth Proportional to 9,900.18, 13,661.91 and 5,919.23

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Solution

The fourth proportional to 9,900.18, 13,661.91 and 5,919.23 is: 8,168.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.18 : 13,661.91 = 5,919.23 : x
  2. Step 2: Convert to fraction form
    9,900.18/13,661.91 = 5,919.23/x
  3. Step 3: Cross multiply
    9,900.18x = 13,661.91 × 5,919.23
  4. Step 4: Simplify right side
    9,900.18x = 80,867,919.22
  5. Step 5: Solve for x
    x = 80,867,919.22/9,900.18
  6. Step 6: Final answer
    x = 8,168.33

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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.