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Finding the Fourth Proportional to 9,934, 14,902.56 and 3,358.64

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Solution

The fourth proportional to 9,934, 14,902.56 and 3,358.64 is: 5,038.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934 : 14,902.56 = 3,358.64 : x
  2. Step 2: Convert to fraction form
    9,934/14,902.56 = 3,358.64/x
  3. Step 3: Cross multiply
    9,934x = 14,902.56 × 3,358.64
  4. Step 4: Simplify right side
    9,934x = 50,052,334.12
  5. Step 5: Solve for x
    x = 50,052,334.12/9,934
  6. Step 6: Final answer
    x = 5,038.49

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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.