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Finding the Fourth Proportional to 9,833.47, 14,745.66 and 3,168.77

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Solution

The fourth proportional to 9,833.47, 14,745.66 and 3,168.77 is: 4,751.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.47 : 14,745.66 = 3,168.77 : x
  2. Step 2: Convert to fraction form
    9,833.47/14,745.66 = 3,168.77/x
  3. Step 3: Cross multiply
    9,833.47x = 14,745.66 × 3,168.77
  4. Step 4: Simplify right side
    9,833.47x = 46,725,620.20
  5. Step 5: Solve for x
    x = 46,725,620.20/9,833.47
  6. Step 6: Final answer
    x = 4,751.69

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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.