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Finding the Fourth Proportional to 9,933, 13,707.54 and 5,517

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Solution

The fourth proportional to 9,933, 13,707.54 and 5,517 is: 7,613.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,933 : 13,707.54 = 5,517 : x
  2. Step 2: Convert to fraction form
    9,933/13,707.54 = 5,517/x
  3. Step 3: Cross multiply
    9,933x = 13,707.54 × 5,517
  4. Step 4: Simplify right side
    9,933x = 75,624,498.18
  5. Step 5: Solve for x
    x = 75,624,498.18/9,933
  6. Step 6: Final answer
    x = 7,613.46

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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.