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Finding the Fourth Proportional to 6,681.10, 9,219.87 and 3,696.94

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Solution

The fourth proportional to 6,681.10, 9,219.87 and 3,696.94 is: 5,101.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.10 : 9,219.87 = 3,696.94 : x
  2. Step 2: Convert to fraction form
    6,681.10/9,219.87 = 3,696.94/x
  3. Step 3: Cross multiply
    6,681.10x = 9,219.87 × 3,696.94
  4. Step 4: Simplify right side
    6,681.10x = 34,085,306.20
  5. Step 5: Solve for x
    x = 34,085,306.20/6,681.10
  6. Step 6: Final answer
    x = 5,101.75

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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.