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Finding the Fourth Proportional to 6,814.62, 9,401.84 and 4,427.58

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Solution

The fourth proportional to 6,814.62, 9,401.84 and 4,427.58 is: 6,108.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.62 : 9,401.84 = 4,427.58 : x
  2. Step 2: Convert to fraction form
    6,814.62/9,401.84 = 4,427.58/x
  3. Step 3: Cross multiply
    6,814.62x = 9,401.84 × 4,427.58
  4. Step 4: Simplify right side
    6,814.62x = 41,627,398.75
  5. Step 5: Solve for x
    x = 41,627,398.75/6,814.62
  6. Step 6: Final answer
    x = 6,108.54

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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.