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Finding the Fourth Proportional to 9,674, 13,352.97 and 6,317.33

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Solution

The fourth proportional to 9,674, 13,352.97 and 6,317.33 is: 8,719.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674 : 13,352.97 = 6,317.33 : x
  2. Step 2: Convert to fraction form
    9,674/13,352.97 = 6,317.33/x
  3. Step 3: Cross multiply
    9,674x = 13,352.97 × 6,317.33
  4. Step 4: Simplify right side
    9,674x = 84,355,117.97
  5. Step 5: Solve for x
    x = 84,355,117.97/9,674
  6. Step 6: Final answer
    x = 8,719.78

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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.