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Finding the Fourth Proportional to 9,533.73, 14,301.56 and 3,292.92

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Solution

The fourth proportional to 9,533.73, 14,301.56 and 3,292.92 is: 4,939.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.73 : 14,301.56 = 3,292.92 : x
  2. Step 2: Convert to fraction form
    9,533.73/14,301.56 = 3,292.92/x
  3. Step 3: Cross multiply
    9,533.73x = 14,301.56 × 3,292.92
  4. Step 4: Simplify right side
    9,533.73x = 47,093,876.49
  5. Step 5: Solve for x
    x = 47,093,876.49/9,533.73
  6. Step 6: Final answer
    x = 4,939.71

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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.