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Finding the Fourth Proportional to 9,969.62, 14,954.43 and 3,395.66

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Solution

The fourth proportional to 9,969.62, 14,954.43 and 3,395.66 is: 5,093.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.62 : 14,954.43 = 3,395.66 : x
  2. Step 2: Convert to fraction form
    9,969.62/14,954.43 = 3,395.66/x
  3. Step 3: Cross multiply
    9,969.62x = 14,954.43 × 3,395.66
  4. Step 4: Simplify right side
    9,969.62x = 50,780,159.77
  5. Step 5: Solve for x
    x = 50,780,159.77/9,969.62
  6. Step 6: Final answer
    x = 5,093.49

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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.