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Finding the Fourth Proportional to 6,336.84, 9,497.34 and 3,049.05

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Solution

The fourth proportional to 6,336.84, 9,497.34 and 3,049.05 is: 4,569.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.84 : 9,497.34 = 3,049.05 : x
  2. Step 2: Convert to fraction form
    6,336.84/9,497.34 = 3,049.05/x
  3. Step 3: Cross multiply
    6,336.84x = 9,497.34 × 3,049.05
  4. Step 4: Simplify right side
    6,336.84x = 28,957,864.53
  5. Step 5: Solve for x
    x = 28,957,864.53/6,336.84
  6. Step 6: Final answer
    x = 4,569.76

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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.