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Finding the Fourth Proportional to 6,339.72, 9,506.18 and 3,529.44

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Solution

The fourth proportional to 6,339.72, 9,506.18 and 3,529.44 is: 5,292.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.72 : 9,506.18 = 3,529.44 : x
  2. Step 2: Convert to fraction form
    6,339.72/9,506.18 = 3,529.44/x
  3. Step 3: Cross multiply
    6,339.72x = 9,506.18 × 3,529.44
  4. Step 4: Simplify right side
    6,339.72x = 33,551,491.94
  5. Step 5: Solve for x
    x = 33,551,491.94/6,339.72
  6. Step 6: Final answer
    x = 5,292.27

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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.