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Finding the Fourth Proportional to 9,989.82, 13,785.94 and 5,513.57

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Solution

The fourth proportional to 9,989.82, 13,785.94 and 5,513.57 is: 7,608.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.82 : 13,785.94 = 5,513.57 : x
  2. Step 2: Convert to fraction form
    9,989.82/13,785.94 = 5,513.57/x
  3. Step 3: Cross multiply
    9,989.82x = 13,785.94 × 5,513.57
  4. Step 4: Simplify right side
    9,989.82x = 76,009,745.21
  5. Step 5: Solve for x
    x = 76,009,745.21/9,989.82
  6. Step 6: Final answer
    x = 7,608.72

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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.