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Finding the Fourth Proportional to 9,919.82, 13,689.39 and 5,443.61

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Solution

The fourth proportional to 9,919.82, 13,689.39 and 5,443.61 is: 7,512.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919.82 : 13,689.39 = 5,443.61 : x
  2. Step 2: Convert to fraction form
    9,919.82/13,689.39 = 5,443.61/x
  3. Step 3: Cross multiply
    9,919.82x = 13,689.39 × 5,443.61
  4. Step 4: Simplify right side
    9,919.82x = 74,519,621.64
  5. Step 5: Solve for x
    x = 74,519,621.64/9,919.82
  6. Step 6: Final answer
    x = 7,512.20

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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.