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Finding the Fourth Proportional to 9,334.88, 14,002.68 and 2,409.38

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Solution

The fourth proportional to 9,334.88, 14,002.68 and 2,409.38 is: 3,614.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,334.88 : 14,002.68 = 2,409.38 : x
  2. Step 2: Convert to fraction form
    9,334.88/14,002.68 = 2,409.38/x
  3. Step 3: Cross multiply
    9,334.88x = 14,002.68 × 2,409.38
  4. Step 4: Simplify right side
    9,334.88x = 33,737,777.14
  5. Step 5: Solve for x
    x = 33,737,777.14/9,334.88
  6. Step 6: Final answer
    x = 3,614.16

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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.