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Finding the Fourth Proportional to 9,919.97, 13,689.77 and 5,443.46

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Solution

The fourth proportional to 9,919.97, 13,689.77 and 5,443.46 is: 7,512.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919.97 : 13,689.77 = 5,443.46 : x
  2. Step 2: Convert to fraction form
    9,919.97/13,689.77 = 5,443.46/x
  3. Step 3: Cross multiply
    9,919.97x = 13,689.77 × 5,443.46
  4. Step 4: Simplify right side
    9,919.97x = 74,519,715.40
  5. Step 5: Solve for x
    x = 74,519,715.40/9,919.97
  6. Step 6: Final answer
    x = 7,512.09

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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.