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Finding the Fourth Proportional to 9,476.42, 13,082.82 and 6,571.22

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Solution

The fourth proportional to 9,476.42, 13,082.82 and 6,571.22 is: 9,072.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.42 : 13,082.82 = 6,571.22 : x
  2. Step 2: Convert to fraction form
    9,476.42/13,082.82 = 6,571.22/x
  3. Step 3: Cross multiply
    9,476.42x = 13,082.82 × 6,571.22
  4. Step 4: Simplify right side
    9,476.42x = 85,970,088.44
  5. Step 5: Solve for x
    x = 85,970,088.44/9,476.42
  6. Step 6: Final answer
    x = 9,072.00

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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.