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Finding the Fourth Proportional to 9,238.57, 13,859.84 and 2,998.93

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Solution

The fourth proportional to 9,238.57, 13,859.84 and 2,998.93 is: 4,499.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.57 : 13,859.84 = 2,998.93 : x
  2. Step 2: Convert to fraction form
    9,238.57/13,859.84 = 2,998.93/x
  3. Step 3: Cross multiply
    9,238.57x = 13,859.84 × 2,998.93
  4. Step 4: Simplify right side
    9,238.57x = 41,564,674.98
  5. Step 5: Solve for x
    x = 41,564,674.98/9,238.57
  6. Step 6: Final answer
    x = 4,499.04

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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.