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Finding the Fourth Proportional to 5,984.62, 9,022.08 and 5,583.37

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Solution

The fourth proportional to 5,984.62, 9,022.08 and 5,583.37 is: 8,417.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.62 : 9,022.08 = 5,583.37 : x
  2. Step 2: Convert to fraction form
    5,984.62/9,022.08 = 5,583.37/x
  3. Step 3: Cross multiply
    5,984.62x = 9,022.08 × 5,583.37
  4. Step 4: Simplify right side
    5,984.62x = 50,373,594.70
  5. Step 5: Solve for x
    x = 50,373,594.70/5,984.62
  6. Step 6: Final answer
    x = 8,417.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.