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Finding the Fourth Proportional to 6,193.42, 9,291.66 and 3,074.89

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Solution

The fourth proportional to 6,193.42, 9,291.66 and 3,074.89 is: 4,613.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.42 : 9,291.66 = 3,074.89 : x
  2. Step 2: Convert to fraction form
    6,193.42/9,291.66 = 3,074.89/x
  3. Step 3: Cross multiply
    6,193.42x = 9,291.66 × 3,074.89
  4. Step 4: Simplify right side
    6,193.42x = 28,570,832.42
  5. Step 5: Solve for x
    x = 28,570,832.42/6,193.42
  6. Step 6: Final answer
    x = 4,613.09

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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.