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Finding the Fourth Proportional to 6,404.18, 9,593.30 and 3,319.70

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Solution

The fourth proportional to 6,404.18, 9,593.30 and 3,319.70 is: 4,972.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.18 : 9,593.30 = 3,319.70 : x
  2. Step 2: Convert to fraction form
    6,404.18/9,593.30 = 3,319.70/x
  3. Step 3: Cross multiply
    6,404.18x = 9,593.30 × 3,319.70
  4. Step 4: Simplify right side
    6,404.18x = 31,846,813.45
  5. Step 5: Solve for x
    x = 31,846,813.45/6,404.18
  6. Step 6: Final answer
    x = 4,972.82

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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.