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Finding the Fourth Proportional to 9,583.29, 13,224.73 and 5,334.16

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Solution

The fourth proportional to 9,583.29, 13,224.73 and 5,334.16 is: 7,361.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.29 : 13,224.73 = 5,334.16 : x
  2. Step 2: Convert to fraction form
    9,583.29/13,224.73 = 5,334.16/x
  3. Step 3: Cross multiply
    9,583.29x = 13,224.73 × 5,334.16
  4. Step 4: Simplify right side
    9,583.29x = 70,542,825.78
  5. Step 5: Solve for x
    x = 70,542,825.78/9,583.29
  6. Step 6: Final answer
    x = 7,361.02

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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.