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Finding the Fourth Proportional to 6,113.64, 9,168.64 and 3,190.36

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Solution

The fourth proportional to 6,113.64, 9,168.64 and 3,190.36 is: 4,784.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.64 : 9,168.64 = 3,190.36 : x
  2. Step 2: Convert to fraction form
    6,113.64/9,168.64 = 3,190.36/x
  3. Step 3: Cross multiply
    6,113.64x = 9,168.64 × 3,190.36
  4. Step 4: Simplify right side
    6,113.64x = 29,251,262.31
  5. Step 5: Solve for x
    x = 29,251,262.31/6,113.64
  6. Step 6: Final answer
    x = 4,784.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.