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Finding the Fourth Proportional to 9,334.74, 14,002.92 and 3,093.42

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Solution

The fourth proportional to 9,334.74, 14,002.92 and 3,093.42 is: 4,640.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,334.74 : 14,002.92 = 3,093.42 : x
  2. Step 2: Convert to fraction form
    9,334.74/14,002.92 = 3,093.42/x
  3. Step 3: Cross multiply
    9,334.74x = 14,002.92 × 3,093.42
  4. Step 4: Simplify right side
    9,334.74x = 43,316,912.79
  5. Step 5: Solve for x
    x = 43,316,912.79/9,334.74
  6. Step 6: Final answer
    x = 4,640.40

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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.