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Finding the Fourth Proportional to 9,494.61, 13,100.24 and 5,912.39

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Solution

The fourth proportional to 9,494.61, 13,100.24 and 5,912.39 is: 8,157.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.61 : 13,100.24 = 5,912.39 : x
  2. Step 2: Convert to fraction form
    9,494.61/13,100.24 = 5,912.39/x
  3. Step 3: Cross multiply
    9,494.61x = 13,100.24 × 5,912.39
  4. Step 4: Simplify right side
    9,494.61x = 77,453,632.91
  5. Step 5: Solve for x
    x = 77,453,632.91/9,494.61
  6. Step 6: Final answer
    x = 8,157.64

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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.