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Finding the Fourth Proportional to 9,518.72, 13,135.74 and 5,327

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Solution

The fourth proportional to 9,518.72, 13,135.74 and 5,327 is: 7,351.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,518.72 : 13,135.74 = 5,327 : x
  2. Step 2: Convert to fraction form
    9,518.72/13,135.74 = 5,327/x
  3. Step 3: Cross multiply
    9,518.72x = 13,135.74 × 5,327
  4. Step 4: Simplify right side
    9,518.72x = 69,974,086.98
  5. Step 5: Solve for x
    x = 69,974,086.98/9,518.72
  6. Step 6: Final answer
    x = 7,351.21

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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.