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Finding the Fourth Proportional to 9,334.25, 14,002.73 and 3,411.42

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Solution

The fourth proportional to 9,334.25, 14,002.73 and 3,411.42 is: 5,117.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,334.25 : 14,002.73 = 3,411.42 : x
  2. Step 2: Convert to fraction form
    9,334.25/14,002.73 = 3,411.42/x
  3. Step 3: Cross multiply
    9,334.25x = 14,002.73 × 3,411.42
  4. Step 4: Simplify right side
    9,334.25x = 47,769,176.12
  5. Step 5: Solve for x
    x = 47,769,176.12/9,334.25
  6. Step 6: Final answer
    x = 5,117.63

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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.