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Finding the Fourth Proportional to 6,601.45, 9,109.74 and 3,617.31

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Solution

The fourth proportional to 6,601.45, 9,109.74 and 3,617.31 is: 4,991.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,601.45 : 9,109.74 = 3,617.31 : x
  2. Step 2: Convert to fraction form
    6,601.45/9,109.74 = 3,617.31/x
  3. Step 3: Cross multiply
    6,601.45x = 9,109.74 × 3,617.31
  4. Step 4: Simplify right side
    6,601.45x = 32,952,753.60
  5. Step 5: Solve for x
    x = 32,952,753.60/6,601.45
  6. Step 6: Final answer
    x = 4,991.74

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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.