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Finding the Fourth Proportional to 9,583.78, 13,226.82 and 5,392

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Solution

The fourth proportional to 9,583.78, 13,226.82 and 5,392 is: 7,441.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.78 : 13,226.82 = 5,392 : x
  2. Step 2: Convert to fraction form
    9,583.78/13,226.82 = 5,392/x
  3. Step 3: Cross multiply
    9,583.78x = 13,226.82 × 5,392
  4. Step 4: Simplify right side
    9,583.78x = 71,319,013.44
  5. Step 5: Solve for x
    x = 71,319,013.44/9,583.78
  6. Step 6: Final answer
    x = 7,441.64

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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.