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Finding the Fourth Proportional to 9,745.52, 14,620.91 and 4,809.38

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Solution

The fourth proportional to 9,745.52, 14,620.91 and 4,809.38 is: 7,215.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.52 : 14,620.91 = 4,809.38 : x
  2. Step 2: Convert to fraction form
    9,745.52/14,620.91 = 4,809.38/x
  3. Step 3: Cross multiply
    9,745.52x = 14,620.91 × 4,809.38
  4. Step 4: Simplify right side
    9,745.52x = 70,317,414.98
  5. Step 5: Solve for x
    x = 70,317,414.98/9,745.52
  6. Step 6: Final answer
    x = 7,215.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.