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Finding the Fourth Proportional to 9,971.64, 14,958.82 and 3,396.04

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Solution

The fourth proportional to 9,971.64, 14,958.82 and 3,396.04 is: 5,094.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.64 : 14,958.82 = 3,396.04 : x
  2. Step 2: Convert to fraction form
    9,971.64/14,958.82 = 3,396.04/x
  3. Step 3: Cross multiply
    9,971.64x = 14,958.82 × 3,396.04
  4. Step 4: Simplify right side
    9,971.64x = 50,800,751.07
  5. Step 5: Solve for x
    x = 50,800,751.07/9,971.64
  6. Step 6: Final answer
    x = 5,094.52

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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.