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Finding the Fourth Proportional to 6,633.07, 9,153.49 and 3,648.84

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Solution

The fourth proportional to 6,633.07, 9,153.49 and 3,648.84 is: 5,035.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633.07 : 9,153.49 = 3,648.84 : x
  2. Step 2: Convert to fraction form
    6,633.07/9,153.49 = 3,648.84/x
  3. Step 3: Cross multiply
    6,633.07x = 9,153.49 × 3,648.84
  4. Step 4: Simplify right side
    6,633.07x = 33,399,618.17
  5. Step 5: Solve for x
    x = 33,399,618.17/6,633.07
  6. Step 6: Final answer
    x = 5,035.32

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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.