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Finding the Fourth Proportional to 6,523.34, 9,003.35 and 3,872.21

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Solution

The fourth proportional to 6,523.34, 9,003.35 and 3,872.21 is: 5,344.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.34 : 9,003.35 = 3,872.21 : x
  2. Step 2: Convert to fraction form
    6,523.34/9,003.35 = 3,872.21/x
  3. Step 3: Cross multiply
    6,523.34x = 9,003.35 × 3,872.21
  4. Step 4: Simplify right side
    6,523.34x = 34,862,826.57
  5. Step 5: Solve for x
    x = 34,862,826.57/6,523.34
  6. Step 6: Final answer
    x = 5,344.33

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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.