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Finding the Fourth Proportional to 9,965.52, 14,937.84 and 3,722.85

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Solution

The fourth proportional to 9,965.52, 14,937.84 and 3,722.85 is: 5,580.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.52 : 14,937.84 = 3,722.85 : x
  2. Step 2: Convert to fraction form
    9,965.52/14,937.84 = 3,722.85/x
  3. Step 3: Cross multiply
    9,965.52x = 14,937.84 × 3,722.85
  4. Step 4: Simplify right side
    9,965.52x = 55,611,337.64
  5. Step 5: Solve for x
    x = 55,611,337.64/9,965.52
  6. Step 6: Final answer
    x = 5,580.37

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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.