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Finding the Fourth Proportional to 6,571.78, 9,066.72 and 4,215.22

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Solution

The fourth proportional to 6,571.78, 9,066.72 and 4,215.22 is: 5,815.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.78 : 9,066.72 = 4,215.22 : x
  2. Step 2: Convert to fraction form
    6,571.78/9,066.72 = 4,215.22/x
  3. Step 3: Cross multiply
    6,571.78x = 9,066.72 × 4,215.22
  4. Step 4: Simplify right side
    6,571.78x = 38,218,174.14
  5. Step 5: Solve for x
    x = 38,218,174.14/6,571.78
  6. Step 6: Final answer
    x = 5,815.50

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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.