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Finding the Fourth Proportional to 9,433, 13,016.22 and 5,452.66

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Solution

The fourth proportional to 9,433, 13,016.22 and 5,452.66 is: 7,523.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,433 : 13,016.22 = 5,452.66 : x
  2. Step 2: Convert to fraction form
    9,433/13,016.22 = 5,452.66/x
  3. Step 3: Cross multiply
    9,433x = 13,016.22 × 5,452.66
  4. Step 4: Simplify right side
    9,433x = 70,973,022.15
  5. Step 5: Solve for x
    x = 70,973,022.15/9,433
  6. Step 6: Final answer
    x = 7,523.91

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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.