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Finding the Fourth Proportional to 9,989.72, 13,785.60 and 5,513.38

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Solution

The fourth proportional to 9,989.72, 13,785.60 and 5,513.38 is: 7,608.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.72 : 13,785.60 = 5,513.38 : x
  2. Step 2: Convert to fraction form
    9,989.72/13,785.60 = 5,513.38/x
  3. Step 3: Cross multiply
    9,989.72x = 13,785.60 × 5,513.38
  4. Step 4: Simplify right side
    9,989.72x = 76,005,251.33
  5. Step 5: Solve for x
    x = 76,005,251.33/9,989.72
  6. Step 6: Final answer
    x = 7,608.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.