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Finding the Fourth Proportional to 6,463.61, 9,696.50 and 2,568.05

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Solution

The fourth proportional to 6,463.61, 9,696.50 and 2,568.05 is: 3,852.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.61 : 9,696.50 = 2,568.05 : x
  2. Step 2: Convert to fraction form
    6,463.61/9,696.50 = 2,568.05/x
  3. Step 3: Cross multiply
    6,463.61x = 9,696.50 × 2,568.05
  4. Step 4: Simplify right side
    6,463.61x = 24,901,096.83
  5. Step 5: Solve for x
    x = 24,901,096.83/6,463.61
  6. Step 6: Final answer
    x = 3,852.51

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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.