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Finding the Fourth Proportional to 9,884.39, 13,639.86 and 5,408.15

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Solution

The fourth proportional to 9,884.39, 13,639.86 and 5,408.15 is: 7,462.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.39 : 13,639.86 = 5,408.15 : x
  2. Step 2: Convert to fraction form
    9,884.39/13,639.86 = 5,408.15/x
  3. Step 3: Cross multiply
    9,884.39x = 13,639.86 × 5,408.15
  4. Step 4: Simplify right side
    9,884.39x = 73,766,340.66
  5. Step 5: Solve for x
    x = 73,766,340.66/9,884.39
  6. Step 6: Final answer
    x = 7,462.92

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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.