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Finding the Fourth Proportional to 6,194.36, 9,291.54 and 2,297.72

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Solution

The fourth proportional to 6,194.36, 9,291.54 and 2,297.72 is: 3,446.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.36 : 9,291.54 = 2,297.72 : x
  2. Step 2: Convert to fraction form
    6,194.36/9,291.54 = 2,297.72/x
  3. Step 3: Cross multiply
    6,194.36x = 9,291.54 × 2,297.72
  4. Step 4: Simplify right side
    6,194.36x = 21,349,357.29
  5. Step 5: Solve for x
    x = 21,349,357.29/6,194.36
  6. Step 6: Final answer
    x = 3,446.58

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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.