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Finding the Fourth Proportional to 6,232.92, 9,341.10 and 3,596.26

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Solution

The fourth proportional to 6,232.92, 9,341.10 and 3,596.26 is: 5,389.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.92 : 9,341.10 = 3,596.26 : x
  2. Step 2: Convert to fraction form
    6,232.92/9,341.10 = 3,596.26/x
  3. Step 3: Cross multiply
    6,232.92x = 9,341.10 × 3,596.26
  4. Step 4: Simplify right side
    6,232.92x = 33,593,024.29
  5. Step 5: Solve for x
    x = 33,593,024.29/6,232.92
  6. Step 6: Final answer
    x = 5,389.61

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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.