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Finding the Fourth Proportional to 9,317.50, 13,976.25 and 2,392

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Solution

The fourth proportional to 9,317.50, 13,976.25 and 2,392 is: 3,588

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,317.50 : 13,976.25 = 2,392 : x
  2. Step 2: Convert to fraction form
    9,317.50/13,976.25 = 2,392/x
  3. Step 3: Cross multiply
    9,317.50x = 13,976.25 × 2,392
  4. Step 4: Simplify right side
    9,317.50x = 33,431,190
  5. Step 5: Solve for x
    x = 33,431,190/9,317.50
  6. Step 6: Final answer
    x = 3,588

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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.