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Finding the Fourth Proportional to 9,334.80, 14,002.56 and 2,409.12

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Solution

The fourth proportional to 9,334.80, 14,002.56 and 2,409.12 is: 3,613.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,334.80 : 14,002.56 = 2,409.12 : x
  2. Step 2: Convert to fraction form
    9,334.80/14,002.56 = 2,409.12/x
  3. Step 3: Cross multiply
    9,334.80x = 14,002.56 × 2,409.12
  4. Step 4: Simplify right side
    9,334.80x = 33,733,847.35
  5. Step 5: Solve for x
    x = 33,733,847.35/9,334.80
  6. Step 6: Final answer
    x = 3,613.77

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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.