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Finding the Fourth Proportional to 9,333, 14,002.20 and 3,177

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Solution

The fourth proportional to 9,333, 14,002.20 and 3,177 is: 4,766.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,333 : 14,002.20 = 3,177 : x
  2. Step 2: Convert to fraction form
    9,333/14,002.20 = 3,177/x
  3. Step 3: Cross multiply
    9,333x = 14,002.20 × 3,177
  4. Step 4: Simplify right side
    9,333x = 44,484,989.40
  5. Step 5: Solve for x
    x = 44,484,989.40/9,333
  6. Step 6: Final answer
    x = 4,766.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.