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Finding the Fourth Proportional to 6,689.74, 9,231.63 and 3,857.12

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Solution

The fourth proportional to 6,689.74, 9,231.63 and 3,857.12 is: 5,322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.74 : 9,231.63 = 3,857.12 : x
  2. Step 2: Convert to fraction form
    6,689.74/9,231.63 = 3,857.12/x
  3. Step 3: Cross multiply
    6,689.74x = 9,231.63 × 3,857.12
  4. Step 4: Simplify right side
    6,689.74x = 35,607,504.71
  5. Step 5: Solve for x
    x = 35,607,504.71/6,689.74
  6. Step 6: Final answer
    x = 5,322.70

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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.