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Finding the Fourth Proportional to 9,237.94, 13,859.10 and 2,997.97

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Solution

The fourth proportional to 9,237.94, 13,859.10 and 2,997.97 is: 4,497.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,237.94 : 13,859.10 = 2,997.97 : x
  2. Step 2: Convert to fraction form
    9,237.94/13,859.10 = 2,997.97/x
  3. Step 3: Cross multiply
    9,237.94x = 13,859.10 × 2,997.97
  4. Step 4: Simplify right side
    9,237.94x = 41,549,131.38
  5. Step 5: Solve for x
    x = 41,549,131.38/9,237.94
  6. Step 6: Final answer
    x = 4,497.66

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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.