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Finding the Fourth Proportional to 9,583.16, 13,224.31 and 5,549.79

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Solution

The fourth proportional to 9,583.16, 13,224.31 and 5,549.79 is: 7,658.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.16 : 13,224.31 = 5,549.79 : x
  2. Step 2: Convert to fraction form
    9,583.16/13,224.31 = 5,549.79/x
  3. Step 3: Cross multiply
    9,583.16x = 13,224.31 × 5,549.79
  4. Step 4: Simplify right side
    9,583.16x = 73,392,143.39
  5. Step 5: Solve for x
    x = 73,392,143.39/9,583.16
  6. Step 6: Final answer
    x = 7,658.45

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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.