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Finding the Fourth Proportional to 7,101.10, 9,798.62 and 4,229.44

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Solution

The fourth proportional to 7,101.10, 9,798.62 and 4,229.44 is: 5,836.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.10 : 9,798.62 = 4,229.44 : x
  2. Step 2: Convert to fraction form
    7,101.10/9,798.62 = 4,229.44/x
  3. Step 3: Cross multiply
    7,101.10x = 9,798.62 × 4,229.44
  4. Step 4: Simplify right side
    7,101.10x = 41,442,675.37
  5. Step 5: Solve for x
    x = 41,442,675.37/7,101.10
  6. Step 6: Final answer
    x = 5,836.09

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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.