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Finding the Fourth Proportional to 7,092.74, 9,787.41 and 4,108.02

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Solution

The fourth proportional to 7,092.74, 9,787.41 and 4,108.02 is: 5,668.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.74 : 9,787.41 = 4,108.02 : x
  2. Step 2: Convert to fraction form
    7,092.74/9,787.41 = 4,108.02/x
  3. Step 3: Cross multiply
    7,092.74x = 9,787.41 × 4,108.02
  4. Step 4: Simplify right side
    7,092.74x = 40,206,876.03
  5. Step 5: Solve for x
    x = 40,206,876.03/7,092.74
  6. Step 6: Final answer
    x = 5,668.74

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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.