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Finding the Fourth Proportional to 6,290.27, 9,430.74 and 3,167.99

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Solution

The fourth proportional to 6,290.27, 9,430.74 and 3,167.99 is: 4,749.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290.27 : 9,430.74 = 3,167.99 : x
  2. Step 2: Convert to fraction form
    6,290.27/9,430.74 = 3,167.99/x
  3. Step 3: Cross multiply
    6,290.27x = 9,430.74 × 3,167.99
  4. Step 4: Simplify right side
    6,290.27x = 29,876,442.86
  5. Step 5: Solve for x
    x = 29,876,442.86/6,290.27
  6. Step 6: Final answer
    x = 4,749.63

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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.