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Finding the Fourth Proportional to 9,979.38, 13,772.16 and 5,503.12

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Solution

The fourth proportional to 9,979.38, 13,772.16 and 5,503.12 is: 7,594.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,979.38 : 13,772.16 = 5,503.12 : x
  2. Step 2: Convert to fraction form
    9,979.38/13,772.16 = 5,503.12/x
  3. Step 3: Cross multiply
    9,979.38x = 13,772.16 × 5,503.12
  4. Step 4: Simplify right side
    9,979.38x = 75,789,849.14
  5. Step 5: Solve for x
    x = 75,789,849.14/9,979.38
  6. Step 6: Final answer
    x = 7,594.65

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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.