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Finding the Fourth Proportional to 9,979.49, 13,771.75 and 5,503.16

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Solution

The fourth proportional to 9,979.49, 13,771.75 and 5,503.16 is: 7,594.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,979.49 : 13,771.75 = 5,503.16 : x
  2. Step 2: Convert to fraction form
    9,979.49/13,771.75 = 5,503.16/x
  3. Step 3: Cross multiply
    9,979.49x = 13,771.75 × 5,503.16
  4. Step 4: Simplify right side
    9,979.49x = 75,788,143.73
  5. Step 5: Solve for x
    x = 75,788,143.73/9,979.49
  6. Step 6: Final answer
    x = 7,594.39

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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.