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Finding the Fourth Proportional to 9,733.33, 14,603.24 and 4,189.33

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Solution

The fourth proportional to 9,733.33, 14,603.24 and 4,189.33 is: 6,285.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733.33 : 14,603.24 = 4,189.33 : x
  2. Step 2: Convert to fraction form
    9,733.33/14,603.24 = 4,189.33/x
  3. Step 3: Cross multiply
    9,733.33x = 14,603.24 × 4,189.33
  4. Step 4: Simplify right side
    9,733.33x = 61,177,791.43
  5. Step 5: Solve for x
    x = 61,177,791.43/9,733.33
  6. Step 6: Final answer
    x = 6,285.39

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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.