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Finding the Fourth Proportional to 9,965.96, 13,738.66 and 6,972.52

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Solution

The fourth proportional to 9,965.96, 13,738.66 and 6,972.52 is: 9,612.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.96 : 13,738.66 = 6,972.52 : x
  2. Step 2: Convert to fraction form
    9,965.96/13,738.66 = 6,972.52/x
  3. Step 3: Cross multiply
    9,965.96x = 13,738.66 × 6,972.52
  4. Step 4: Simplify right side
    9,965.96x = 95,793,081.62
  5. Step 5: Solve for x
    x = 95,793,081.62/9,965.96
  6. Step 6: Final answer
    x = 9,612.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.