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Finding the Fourth Proportional to 6,299.38, 9,444.03 and 4,080.48

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Solution

The fourth proportional to 6,299.38, 9,444.03 and 4,080.48 is: 6,117.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.38 : 9,444.03 = 4,080.48 : x
  2. Step 2: Convert to fraction form
    6,299.38/9,444.03 = 4,080.48/x
  3. Step 3: Cross multiply
    6,299.38x = 9,444.03 × 4,080.48
  4. Step 4: Simplify right side
    6,299.38x = 38,536,175.53
  5. Step 5: Solve for x
    x = 38,536,175.53/6,299.38
  6. Step 6: Final answer
    x = 6,117.46

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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.