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Finding the Fourth Proportional to 6,883.24, 9,499.02 and 4,229.12

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Solution

The fourth proportional to 6,883.24, 9,499.02 and 4,229.12 is: 5,836.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883.24 : 9,499.02 = 4,229.12 : x
  2. Step 2: Convert to fraction form
    6,883.24/9,499.02 = 4,229.12/x
  3. Step 3: Cross multiply
    6,883.24x = 9,499.02 × 4,229.12
  4. Step 4: Simplify right side
    6,883.24x = 40,172,495.46
  5. Step 5: Solve for x
    x = 40,172,495.46/6,883.24
  6. Step 6: Final answer
    x = 5,836.28

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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.