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Finding the Fourth Proportional to 6,601.42, 9,109.98 and 3,617.26

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Solution

The fourth proportional to 6,601.42, 9,109.98 and 3,617.26 is: 4,991.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,601.42 : 9,109.98 = 3,617.26 : x
  2. Step 2: Convert to fraction form
    6,601.42/9,109.98 = 3,617.26/x
  3. Step 3: Cross multiply
    6,601.42x = 9,109.98 × 3,617.26
  4. Step 4: Simplify right side
    6,601.42x = 32,953,166.25
  5. Step 5: Solve for x
    x = 32,953,166.25/6,601.42
  6. Step 6: Final answer
    x = 4,991.83

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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.