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Finding the Fourth Proportional to 7,060.69, 9,742.74 and 4,227.38

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Solution

The fourth proportional to 7,060.69, 9,742.74 and 4,227.38 is: 5,833.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,060.69 : 9,742.74 = 4,227.38 : x
  2. Step 2: Convert to fraction form
    7,060.69/9,742.74 = 4,227.38/x
  3. Step 3: Cross multiply
    7,060.69x = 9,742.74 × 4,227.38
  4. Step 4: Simplify right side
    7,060.69x = 41,186,243.08
  5. Step 5: Solve for x
    x = 41,186,243.08/7,060.69
  6. Step 6: Final answer
    x = 5,833.18

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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.