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Finding the Fourth Proportional to 7,072.24, 9,755.76 and 6,571.66

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Solution

The fourth proportional to 7,072.24, 9,755.76 and 6,571.66 is: 9,065.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.24 : 9,755.76 = 6,571.66 : x
  2. Step 2: Convert to fraction form
    7,072.24/9,755.76 = 6,571.66/x
  3. Step 3: Cross multiply
    7,072.24x = 9,755.76 × 6,571.66
  4. Step 4: Simplify right side
    7,072.24x = 64,111,537.76
  5. Step 5: Solve for x
    x = 64,111,537.76/7,072.24
  6. Step 6: Final answer
    x = 9,065.24

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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.