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Finding the Fourth Proportional to 6,681.50, 9,219.71 and 3,696.92

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Solution

The fourth proportional to 6,681.50, 9,219.71 and 3,696.92 is: 5,101.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.50 : 9,219.71 = 3,696.92 : x
  2. Step 2: Convert to fraction form
    6,681.50/9,219.71 = 3,696.92/x
  3. Step 3: Cross multiply
    6,681.50x = 9,219.71 × 3,696.92
  4. Step 4: Simplify right side
    6,681.50x = 34,084,530.29
  5. Step 5: Solve for x
    x = 34,084,530.29/6,681.50
  6. Step 6: Final answer
    x = 5,101.33

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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.