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Finding the Fourth Proportional to 6,465.85, 8,922.53 and 3,633.34

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Solution

The fourth proportional to 6,465.85, 8,922.53 and 3,633.34 is: 5,013.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.85 : 8,922.53 = 3,633.34 : x
  2. Step 2: Convert to fraction form
    6,465.85/8,922.53 = 3,633.34/x
  3. Step 3: Cross multiply
    6,465.85x = 8,922.53 × 3,633.34
  4. Step 4: Simplify right side
    6,465.85x = 32,418,540.54
  5. Step 5: Solve for x
    x = 32,418,540.54/6,465.85
  6. Step 6: Final answer
    x = 5,013.81

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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.