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Finding the Fourth Proportional to 6,299.12, 8,693.66 and 3,647.36

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Solution

The fourth proportional to 6,299.12, 8,693.66 and 3,647.36 is: 5,033.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.12 : 8,693.66 = 3,647.36 : x
  2. Step 2: Convert to fraction form
    6,299.12/8,693.66 = 3,647.36/x
  3. Step 3: Cross multiply
    6,299.12x = 8,693.66 × 3,647.36
  4. Step 4: Simplify right side
    6,299.12x = 31,708,907.74
  5. Step 5: Solve for x
    x = 31,708,907.74/6,299.12
  6. Step 6: Final answer
    x = 5,033.86

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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.