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Finding the Fourth Proportional to 6,769.22, 9,341.97 and 4,116.74

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Solution

The fourth proportional to 6,769.22, 9,341.97 and 4,116.74 is: 5,681.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769.22 : 9,341.97 = 4,116.74 : x
  2. Step 2: Convert to fraction form
    6,769.22/9,341.97 = 4,116.74/x
  3. Step 3: Cross multiply
    6,769.22x = 9,341.97 × 4,116.74
  4. Step 4: Simplify right side
    6,769.22x = 38,458,461.58
  5. Step 5: Solve for x
    x = 38,458,461.58/6,769.22
  6. Step 6: Final answer
    x = 5,681.37

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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.