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Finding the Fourth Proportional to 6,681.30, 9,219.62 and 3,696.40

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Solution

The fourth proportional to 6,681.30, 9,219.62 and 3,696.40 is: 5,100.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.30 : 9,219.62 = 3,696.40 : x
  2. Step 2: Convert to fraction form
    6,681.30/9,219.62 = 3,696.40/x
  3. Step 3: Cross multiply
    6,681.30x = 9,219.62 × 3,696.40
  4. Step 4: Simplify right side
    6,681.30x = 34,079,424.13
  5. Step 5: Solve for x
    x = 34,079,424.13/6,681.30
  6. Step 6: Final answer
    x = 5,100.72

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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.