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Finding the Fourth Proportional to 9,600.42, 13,238.22 and 6,014.10

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Solution

The fourth proportional to 9,600.42, 13,238.22 and 6,014.10 is: 8,292.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.42 : 13,238.22 = 6,014.10 : x
  2. Step 2: Convert to fraction form
    9,600.42/13,238.22 = 6,014.10/x
  3. Step 3: Cross multiply
    9,600.42x = 13,238.22 × 6,014.10
  4. Step 4: Simplify right side
    9,600.42x = 79,615,978.90
  5. Step 5: Solve for x
    x = 79,615,978.90/9,600.42
  6. Step 6: Final answer
    x = 8,292.97

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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.