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Finding the Fourth Proportional to 7,181.96, 9,908.64 and 4,491.36

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Solution

The fourth proportional to 7,181.96, 9,908.64 and 4,491.36 is: 6,196.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181.96 : 9,908.64 = 4,491.36 : x
  2. Step 2: Convert to fraction form
    7,181.96/9,908.64 = 4,491.36/x
  3. Step 3: Cross multiply
    7,181.96x = 9,908.64 × 4,491.36
  4. Step 4: Simplify right side
    7,181.96x = 44,503,269.35
  5. Step 5: Solve for x
    x = 44,503,269.35/7,181.96
  6. Step 6: Final answer
    x = 6,196.54

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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.