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Finding the Fourth Proportional to 6,593.81, 9,099.46 and 3,609.66

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Solution

The fourth proportional to 6,593.81, 9,099.46 and 3,609.66 is: 4,981.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.81 : 9,099.46 = 3,609.66 : x
  2. Step 2: Convert to fraction form
    6,593.81/9,099.46 = 3,609.66/x
  3. Step 3: Cross multiply
    6,593.81x = 9,099.46 × 3,609.66
  4. Step 4: Simplify right side
    6,593.81x = 32,845,947.76
  5. Step 5: Solve for x
    x = 32,845,947.76/6,593.81
  6. Step 6: Final answer
    x = 4,981.33

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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.