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Finding the Fourth Proportional to 6,633.86, 9,154.95 and 3,649.82

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Solution

The fourth proportional to 6,633.86, 9,154.95 and 3,649.82 is: 5,036.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633.86 : 9,154.95 = 3,649.82 : x
  2. Step 2: Convert to fraction form
    6,633.86/9,154.95 = 3,649.82/x
  3. Step 3: Cross multiply
    6,633.86x = 9,154.95 × 3,649.82
  4. Step 4: Simplify right side
    6,633.86x = 33,413,919.61
  5. Step 5: Solve for x
    x = 33,413,919.61/6,633.86
  6. Step 6: Final answer
    x = 5,036.87

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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.