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Finding the Fourth Proportional to 9,474.09, 13,073.67 and 5,224.98

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Solution

The fourth proportional to 9,474.09, 13,073.67 and 5,224.98 is: 7,210.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.09 : 13,073.67 = 5,224.98 : x
  2. Step 2: Convert to fraction form
    9,474.09/13,073.67 = 5,224.98/x
  3. Step 3: Cross multiply
    9,474.09x = 13,073.67 × 5,224.98
  4. Step 4: Simplify right side
    9,474.09x = 68,309,664.28
  5. Step 5: Solve for x
    x = 68,309,664.28/9,474.09
  6. Step 6: Final answer
    x = 7,210.16

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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.