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Finding the Fourth Proportional to 7,120.38, 9,825.66 and 3,933.66

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Solution

The fourth proportional to 7,120.38, 9,825.66 and 3,933.66 is: 5,428.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,120.38 : 9,825.66 = 3,933.66 : x
  2. Step 2: Convert to fraction form
    7,120.38/9,825.66 = 3,933.66/x
  3. Step 3: Cross multiply
    7,120.38x = 9,825.66 × 3,933.66
  4. Step 4: Simplify right side
    7,120.38x = 38,650,805.72
  5. Step 5: Solve for x
    x = 38,650,805.72/7,120.38
  6. Step 6: Final answer
    x = 5,428.19

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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.