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Finding the Fourth Proportional to 6,756.27, 9,322.53 and 3,772.10

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Solution

The fourth proportional to 6,756.27, 9,322.53 and 3,772.10 is: 5,204.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,756.27 : 9,322.53 = 3,772.10 : x
  2. Step 2: Convert to fraction form
    6,756.27/9,322.53 = 3,772.10/x
  3. Step 3: Cross multiply
    6,756.27x = 9,322.53 × 3,772.10
  4. Step 4: Simplify right side
    6,756.27x = 35,165,515.41
  5. Step 5: Solve for x
    x = 35,165,515.41/6,756.27
  6. Step 6: Final answer
    x = 5,204.87

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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.