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Finding the Fourth Proportional to 9,814.16, 13,549.07 and 7,571.27

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Solution

The fourth proportional to 9,814.16, 13,549.07 and 7,571.27 is: 10,452.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.16 : 13,549.07 = 7,571.27 : x
  2. Step 2: Convert to fraction form
    9,814.16/13,549.07 = 7,571.27/x
  3. Step 3: Cross multiply
    9,814.16x = 13,549.07 × 7,571.27
  4. Step 4: Simplify right side
    9,814.16x = 102,583,720.02
  5. Step 5: Solve for x
    x = 102,583,720.02/9,814.16
  6. Step 6: Final answer
    x = 10,452.62

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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.