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Finding the Fourth Proportional to 9,334.72, 14,002.08 and 2,409.22

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Solution

The fourth proportional to 9,334.72, 14,002.08 and 2,409.22 is: 3,613.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,334.72 : 14,002.08 = 2,409.22 : x
  2. Step 2: Convert to fraction form
    9,334.72/14,002.08 = 2,409.22/x
  3. Step 3: Cross multiply
    9,334.72x = 14,002.08 × 2,409.22
  4. Step 4: Simplify right side
    9,334.72x = 33,734,091.18
  5. Step 5: Solve for x
    x = 33,734,091.18/9,334.72
  6. Step 6: Final answer
    x = 3,613.83

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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.