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Finding the Fourth Proportional to 6,293.42, 9,429.18 and 3,366.48

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Solution

The fourth proportional to 6,293.42, 9,429.18 and 3,366.48 is: 5,043.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.42 : 9,429.18 = 3,366.48 : x
  2. Step 2: Convert to fraction form
    6,293.42/9,429.18 = 3,366.48/x
  3. Step 3: Cross multiply
    6,293.42x = 9,429.18 × 3,366.48
  4. Step 4: Simplify right side
    6,293.42x = 31,743,145.89
  5. Step 5: Solve for x
    x = 31,743,145.89/6,293.42
  6. Step 6: Final answer
    x = 5,043.87

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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.