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Finding the Fourth Proportional to 6,336.82, 9,509.34 and 3,417.16

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Solution

The fourth proportional to 6,336.82, 9,509.34 and 3,417.16 is: 5,127.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.82 : 9,509.34 = 3,417.16 : x
  2. Step 2: Convert to fraction form
    6,336.82/9,509.34 = 3,417.16/x
  3. Step 3: Cross multiply
    6,336.82x = 9,509.34 × 3,417.16
  4. Step 4: Simplify right side
    6,336.82x = 32,494,936.27
  5. Step 5: Solve for x
    x = 32,494,936.27/6,336.82
  6. Step 6: Final answer
    x = 5,127.96

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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.