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Finding the Fourth Proportional to 6,194.56, 9,293.26 and 2,685.16

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Solution

The fourth proportional to 6,194.56, 9,293.26 and 2,685.16 is: 4,028.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.56 : 9,293.26 = 2,685.16 : x
  2. Step 2: Convert to fraction form
    6,194.56/9,293.26 = 2,685.16/x
  3. Step 3: Cross multiply
    6,194.56x = 9,293.26 × 2,685.16
  4. Step 4: Simplify right side
    6,194.56x = 24,953,830.13
  5. Step 5: Solve for x
    x = 24,953,830.13/6,194.56
  6. Step 6: Final answer
    x = 4,028.35

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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.