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Finding the Fourth Proportional to 6,633.14, 9,153.99 and 3,648.91

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Solution

The fourth proportional to 6,633.14, 9,153.99 and 3,648.91 is: 5,035.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633.14 : 9,153.99 = 3,648.91 : x
  2. Step 2: Convert to fraction form
    6,633.14/9,153.99 = 3,648.91/x
  3. Step 3: Cross multiply
    6,633.14x = 9,153.99 × 3,648.91
  4. Step 4: Simplify right side
    6,633.14x = 33,402,082.54
  5. Step 5: Solve for x
    x = 33,402,082.54/6,633.14
  6. Step 6: Final answer
    x = 5,035.64

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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.