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Finding the Fourth Proportional to 7,247.75, 9,926.95 and 6,822.20

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Solution

The fourth proportional to 7,247.75, 9,926.95 and 6,822.20 is: 9,344.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,247.75 : 9,926.95 = 6,822.20 : x
  2. Step 2: Convert to fraction form
    7,247.75/9,926.95 = 6,822.20/x
  3. Step 3: Cross multiply
    7,247.75x = 9,926.95 × 6,822.20
  4. Step 4: Simplify right side
    7,247.75x = 67,723,597.18
  5. Step 5: Solve for x
    x = 67,723,597.18/7,247.75
  6. Step 6: Final answer
    x = 9,344.09

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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.