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Finding the Fourth Proportional to 9,908.27, 13,671.67 and 5,657.39

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Solution

The fourth proportional to 9,908.27, 13,671.67 and 5,657.39 is: 7,806.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,908.27 : 13,671.67 = 5,657.39 : x
  2. Step 2: Convert to fraction form
    9,908.27/13,671.67 = 5,657.39/x
  3. Step 3: Cross multiply
    9,908.27x = 13,671.67 × 5,657.39
  4. Step 4: Simplify right side
    9,908.27x = 77,345,969.14
  5. Step 5: Solve for x
    x = 77,345,969.14/9,908.27
  6. Step 6: Final answer
    x = 7,806.20

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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.