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Finding the Fourth Proportional to 6,299.64, 9,442.89 and 3,522.24

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Solution

The fourth proportional to 6,299.64, 9,442.89 and 3,522.24 is: 5,279.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.64 : 9,442.89 = 3,522.24 : x
  2. Step 2: Convert to fraction form
    6,299.64/9,442.89 = 3,522.24/x
  3. Step 3: Cross multiply
    6,299.64x = 9,442.89 × 3,522.24
  4. Step 4: Simplify right side
    6,299.64x = 33,260,124.87
  5. Step 5: Solve for x
    x = 33,260,124.87/6,299.64
  6. Step 6: Final answer
    x = 5,279.69

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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.