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Finding the Fourth Proportional to 6,564.13, 9,061.85 and 4,450.84

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Solution

The fourth proportional to 6,564.13, 9,061.85 and 4,450.84 is: 6,144.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.13 : 9,061.85 = 4,450.84 : x
  2. Step 2: Convert to fraction form
    6,564.13/9,061.85 = 4,450.84/x
  3. Step 3: Cross multiply
    6,564.13x = 9,061.85 × 4,450.84
  4. Step 4: Simplify right side
    6,564.13x = 40,332,832.93
  5. Step 5: Solve for x
    x = 40,332,832.93/6,564.13
  6. Step 6: Final answer
    x = 6,144.43

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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.