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Finding the Fourth Proportional to 6,769.72, 9,342.66 and 4,117.24

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Solution

The fourth proportional to 6,769.72, 9,342.66 and 4,117.24 is: 5,682.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769.72 : 9,342.66 = 4,117.24 : x
  2. Step 2: Convert to fraction form
    6,769.72/9,342.66 = 4,117.24/x
  3. Step 3: Cross multiply
    6,769.72x = 9,342.66 × 4,117.24
  4. Step 4: Simplify right side
    6,769.72x = 38,465,973.46
  5. Step 5: Solve for x
    x = 38,465,973.46/6,769.72
  6. Step 6: Final answer
    x = 5,682.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.