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Finding the Fourth Proportional to 9,518.70, 13,143.87 and 5,983.05

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Solution

The fourth proportional to 9,518.70, 13,143.87 and 5,983.05 is: 8,261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,518.70 : 13,143.87 = 5,983.05 : x
  2. Step 2: Convert to fraction form
    9,518.70/13,143.87 = 5,983.05/x
  3. Step 3: Cross multiply
    9,518.70x = 13,143.87 × 5,983.05
  4. Step 4: Simplify right side
    9,518.70x = 78,640,431.40
  5. Step 5: Solve for x
    x = 78,640,431.40/9,518.70
  6. Step 6: Final answer
    x = 8,261.68

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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.