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Finding the Fourth Proportional to 9,583.24, 13,224.86 and 5,391.49

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Solution

The fourth proportional to 9,583.24, 13,224.86 and 5,391.49 is: 7,440.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.24 : 13,224.86 = 5,391.49 : x
  2. Step 2: Convert to fraction form
    9,583.24/13,224.86 = 5,391.49/x
  3. Step 3: Cross multiply
    9,583.24x = 13,224.86 × 5,391.49
  4. Step 4: Simplify right side
    9,583.24x = 71,301,700.44
  5. Step 5: Solve for x
    x = 71,301,700.44/9,583.24
  6. Step 6: Final answer
    x = 7,440.25

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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.