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Finding the Fourth Proportional to 9,294.78, 13,944.90 and 3,745.28

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Solution

The fourth proportional to 9,294.78, 13,944.90 and 3,745.28 is: 5,619.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.78 : 13,944.90 = 3,745.28 : x
  2. Step 2: Convert to fraction form
    9,294.78/13,944.90 = 3,745.28/x
  3. Step 3: Cross multiply
    9,294.78x = 13,944.90 × 3,745.28
  4. Step 4: Simplify right side
    9,294.78x = 52,227,485.35
  5. Step 5: Solve for x
    x = 52,227,485.35/9,294.78
  6. Step 6: Final answer
    x = 5,619.01

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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.