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Finding the Fourth Proportional to 6,974.78, 9,620.17 and 5,092.74

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Solution

The fourth proportional to 6,974.78, 9,620.17 and 5,092.74 is: 7,024.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.78 : 9,620.17 = 5,092.74 : x
  2. Step 2: Convert to fraction form
    6,974.78/9,620.17 = 5,092.74/x
  3. Step 3: Cross multiply
    6,974.78x = 9,620.17 × 5,092.74
  4. Step 4: Simplify right side
    6,974.78x = 48,993,011.83
  5. Step 5: Solve for x
    x = 48,993,011.83/6,974.78
  6. Step 6: Final answer
    x = 7,024.31

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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.