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Finding the Fourth Proportional to 9,745.39, 14,620.39 and 3,171.58

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Solution

The fourth proportional to 9,745.39, 14,620.39 and 3,171.58 is: 4,758.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.39 : 14,620.39 = 3,171.58 : x
  2. Step 2: Convert to fraction form
    9,745.39/14,620.39 = 3,171.58/x
  3. Step 3: Cross multiply
    9,745.39x = 14,620.39 × 3,171.58
  4. Step 4: Simplify right side
    9,745.39x = 46,369,707.52
  5. Step 5: Solve for x
    x = 46,369,707.52/9,745.39
  6. Step 6: Final answer
    x = 4,758.12

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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.