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Finding the Fourth Proportional to 6,633.40, 9,153.66 and 3,649.12

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Solution

The fourth proportional to 6,633.40, 9,153.66 and 3,649.12 is: 5,035.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633.40 : 9,153.66 = 3,649.12 : x
  2. Step 2: Convert to fraction form
    6,633.40/9,153.66 = 3,649.12/x
  3. Step 3: Cross multiply
    6,633.40x = 9,153.66 × 3,649.12
  4. Step 4: Simplify right side
    6,633.40x = 33,402,803.78
  5. Step 5: Solve for x
    x = 33,402,803.78/6,633.40
  6. Step 6: Final answer
    x = 5,035.55

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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.