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Finding the Fourth Proportional to 9,522.72, 13,141.26 and 5,331

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Solution

The fourth proportional to 9,522.72, 13,141.26 and 5,331 is: 7,356.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.72 : 13,141.26 = 5,331 : x
  2. Step 2: Convert to fraction form
    9,522.72/13,141.26 = 5,331/x
  3. Step 3: Cross multiply
    9,522.72x = 13,141.26 × 5,331
  4. Step 4: Simplify right side
    9,522.72x = 70,056,057.06
  5. Step 5: Solve for x
    x = 70,056,057.06/9,522.72
  6. Step 6: Final answer
    x = 7,356.73

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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.