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Finding the Fourth Proportional to 6,033.12, 9,042.12 and 3,437.52

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Solution

The fourth proportional to 6,033.12, 9,042.12 and 3,437.52 is: 5,151.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,033.12 : 9,042.12 = 3,437.52 : x
  2. Step 2: Convert to fraction form
    6,033.12/9,042.12 = 3,437.52/x
  3. Step 3: Cross multiply
    6,033.12x = 9,042.12 × 3,437.52
  4. Step 4: Simplify right side
    6,033.12x = 31,082,468.34
  5. Step 5: Solve for x
    x = 31,082,468.34/6,033.12
  6. Step 6: Final answer
    x = 5,151.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.