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Finding the Fourth Proportional to 6,299.52, 9,438.48 and 4,447.32

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Solution

The fourth proportional to 6,299.52, 9,438.48 and 4,447.32 is: 6,663.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.52 : 9,438.48 = 4,447.32 : x
  2. Step 2: Convert to fraction form
    6,299.52/9,438.48 = 4,447.32/x
  3. Step 3: Cross multiply
    6,299.52x = 9,438.48 × 4,447.32
  4. Step 4: Simplify right side
    6,299.52x = 41,975,940.87
  5. Step 5: Solve for x
    x = 41,975,940.87/6,299.52
  6. Step 6: Final answer
    x = 6,663.36

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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.