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Finding the Fourth Proportional to 6,697.82, 9,244.06 and 4,045.61

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Solution

The fourth proportional to 6,697.82, 9,244.06 and 4,045.61 is: 5,583.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.82 : 9,244.06 = 4,045.61 : x
  2. Step 2: Convert to fraction form
    6,697.82/9,244.06 = 4,045.61/x
  3. Step 3: Cross multiply
    6,697.82x = 9,244.06 × 4,045.61
  4. Step 4: Simplify right side
    6,697.82x = 37,397,874.57
  5. Step 5: Solve for x
    x = 37,397,874.57/6,697.82
  6. Step 6: Final answer
    x = 5,583.59

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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.