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Finding the Fourth Proportional to 6,323.68, 8,728.24 and 3,841.76

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Solution

The fourth proportional to 6,323.68, 8,728.24 and 3,841.76 is: 5,302.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.68 : 8,728.24 = 3,841.76 : x
  2. Step 2: Convert to fraction form
    6,323.68/8,728.24 = 3,841.76/x
  3. Step 3: Cross multiply
    6,323.68x = 8,728.24 × 3,841.76
  4. Step 4: Simplify right side
    6,323.68x = 33,531,803.30
  5. Step 5: Solve for x
    x = 33,531,803.30/6,323.68
  6. Step 6: Final answer
    x = 5,302.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.