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Finding the Fourth Proportional to 7,249.38, 9,929.18 and 6,823.82

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Solution

The fourth proportional to 7,249.38, 9,929.18 and 6,823.82 is: 9,346.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,249.38 : 9,929.18 = 6,823.82 : x
  2. Step 2: Convert to fraction form
    7,249.38/9,929.18 = 6,823.82/x
  3. Step 3: Cross multiply
    7,249.38x = 9,929.18 × 6,823.82
  4. Step 4: Simplify right side
    7,249.38x = 67,754,937.07
  5. Step 5: Solve for x
    x = 67,754,937.07/7,249.38
  6. Step 6: Final answer
    x = 9,346.31

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.