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Finding the Fourth Proportional to 6,299.46, 8,693.24 and 3,647.07

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Solution

The fourth proportional to 6,299.46, 8,693.24 and 3,647.07 is: 5,032.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.46 : 8,693.24 = 3,647.07 : x
  2. Step 2: Convert to fraction form
    6,299.46/8,693.24 = 3,647.07/x
  3. Step 3: Cross multiply
    6,299.46x = 8,693.24 × 3,647.07
  4. Step 4: Simplify right side
    6,299.46x = 31,704,836.57
  5. Step 5: Solve for x
    x = 31,704,836.57/6,299.46
  6. Step 6: Final answer
    x = 5,032.95

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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.