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Finding the Fourth Proportional to 9,908.06, 13,673.01 and 5,716.22

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Solution

The fourth proportional to 9,908.06, 13,673.01 and 5,716.22 is: 7,888.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,908.06 : 13,673.01 = 5,716.22 : x
  2. Step 2: Convert to fraction form
    9,908.06/13,673.01 = 5,716.22/x
  3. Step 3: Cross multiply
    9,908.06x = 13,673.01 × 5,716.22
  4. Step 4: Simplify right side
    9,908.06x = 78,157,933.22
  5. Step 5: Solve for x
    x = 78,157,933.22/9,908.06
  6. Step 6: Final answer
    x = 7,888.32

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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.