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Finding the Fourth Proportional to 9,938, 14,908.56 and 3,362.64

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Solution

The fourth proportional to 9,938, 14,908.56 and 3,362.64 is: 5,044.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938 : 14,908.56 = 3,362.64 : x
  2. Step 2: Convert to fraction form
    9,938/14,908.56 = 3,362.64/x
  3. Step 3: Cross multiply
    9,938x = 14,908.56 × 3,362.64
  4. Step 4: Simplify right side
    9,938x = 50,132,120.20
  5. Step 5: Solve for x
    x = 50,132,120.20/9,938
  6. Step 6: Final answer
    x = 5,044.49

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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.