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Finding the Fourth Proportional to 7,120.73, 9,827.18 and 3,934.31

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Solution

The fourth proportional to 7,120.73, 9,827.18 and 3,934.31 is: 5,429.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,120.73 : 9,827.18 = 3,934.31 : x
  2. Step 2: Convert to fraction form
    7,120.73/9,827.18 = 3,934.31/x
  3. Step 3: Cross multiply
    7,120.73x = 9,827.18 × 3,934.31
  4. Step 4: Simplify right side
    7,120.73x = 38,663,129.56
  5. Step 5: Solve for x
    x = 38,663,129.56/7,120.73
  6. Step 6: Final answer
    x = 5,429.66

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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.