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Finding the Fourth Proportional to 6,336.77, 9,497.86 and 3,408.93

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Solution

The fourth proportional to 6,336.77, 9,497.86 and 3,408.93 is: 5,109.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.77 : 9,497.86 = 3,408.93 : x
  2. Step 2: Convert to fraction form
    6,336.77/9,497.86 = 3,408.93/x
  3. Step 3: Cross multiply
    6,336.77x = 9,497.86 × 3,408.93
  4. Step 4: Simplify right side
    6,336.77x = 32,377,539.89
  5. Step 5: Solve for x
    x = 32,377,539.89/6,336.77
  6. Step 6: Final answer
    x = 5,109.47

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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.