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Finding the Fourth Proportional to 6,877.71, 9,491.22 and 3,733.89

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Solution

The fourth proportional to 6,877.71, 9,491.22 and 3,733.89 is: 5,152.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.71 : 9,491.22 = 3,733.89 : x
  2. Step 2: Convert to fraction form
    6,877.71/9,491.22 = 3,733.89/x
  3. Step 3: Cross multiply
    6,877.71x = 9,491.22 × 3,733.89
  4. Step 4: Simplify right side
    6,877.71x = 35,439,171.45
  5. Step 5: Solve for x
    x = 35,439,171.45/6,877.71
  6. Step 6: Final answer
    x = 5,152.76

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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.