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Finding the Fourth Proportional to 9,725.33, 14,589.86 and 3,801.98

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Solution

The fourth proportional to 9,725.33, 14,589.86 and 3,801.98 is: 5,703.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725.33 : 14,589.86 = 3,801.98 : x
  2. Step 2: Convert to fraction form
    9,725.33/14,589.86 = 3,801.98/x
  3. Step 3: Cross multiply
    9,725.33x = 14,589.86 × 3,801.98
  4. Step 4: Simplify right side
    9,725.33x = 55,470,263.96
  5. Step 5: Solve for x
    x = 55,470,263.96/9,725.33
  6. Step 6: Final answer
    x = 5,703.69

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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.