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Finding the Fourth Proportional to 9,650.36, 13,311.96 and 5,670.74

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Solution

The fourth proportional to 9,650.36, 13,311.96 and 5,670.74 is: 7,822.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.36 : 13,311.96 = 5,670.74 : x
  2. Step 2: Convert to fraction form
    9,650.36/13,311.96 = 5,670.74/x
  3. Step 3: Cross multiply
    9,650.36x = 13,311.96 × 5,670.74
  4. Step 4: Simplify right side
    9,650.36x = 75,488,664.05
  5. Step 5: Solve for x
    x = 75,488,664.05/9,650.36
  6. Step 6: Final answer
    x = 7,822.37

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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.