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Finding the Fourth Proportional to 6,299.72, 9,436.60 and 3,696.38

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Solution

The fourth proportional to 6,299.72, 9,436.60 and 3,696.38 is: 5,536.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.72 : 9,436.60 = 3,696.38 : x
  2. Step 2: Convert to fraction form
    6,299.72/9,436.60 = 3,696.38/x
  3. Step 3: Cross multiply
    6,299.72x = 9,436.60 × 3,696.38
  4. Step 4: Simplify right side
    6,299.72x = 34,881,259.51
  5. Step 5: Solve for x
    x = 34,881,259.51/6,299.72
  6. Step 6: Final answer
    x = 5,536.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.