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Finding the Fourth Proportional to 6,046.26, 9,071.41 and 2,348.61

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Solution

The fourth proportional to 6,046.26, 9,071.41 and 2,348.61 is: 3,523.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.26 : 9,071.41 = 2,348.61 : x
  2. Step 2: Convert to fraction form
    6,046.26/9,071.41 = 2,348.61/x
  3. Step 3: Cross multiply
    6,046.26x = 9,071.41 × 2,348.61
  4. Step 4: Simplify right side
    6,046.26x = 21,305,204.24
  5. Step 5: Solve for x
    x = 21,305,204.24/6,046.26
  6. Step 6: Final answer
    x = 3,523.70

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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.