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Finding the Fourth Proportional to 6,681.18, 9,219.81 and 3,696.90

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Solution

The fourth proportional to 6,681.18, 9,219.81 and 3,696.90 is: 5,101.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.18 : 9,219.81 = 3,696.90 : x
  2. Step 2: Convert to fraction form
    6,681.18/9,219.81 = 3,696.90/x
  3. Step 3: Cross multiply
    6,681.18x = 9,219.81 × 3,696.90
  4. Step 4: Simplify right side
    6,681.18x = 34,084,715.59
  5. Step 5: Solve for x
    x = 34,084,715.59/6,681.18
  6. Step 6: Final answer
    x = 5,101.60

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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.