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Finding the Fourth Proportional to 9,937.86, 13,715.94 and 5,748.54

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Solution

The fourth proportional to 9,937.86, 13,715.94 and 5,748.54 is: 7,933.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.86 : 13,715.94 = 5,748.54 : x
  2. Step 2: Convert to fraction form
    9,937.86/13,715.94 = 5,748.54/x
  3. Step 3: Cross multiply
    9,937.86x = 13,715.94 × 5,748.54
  4. Step 4: Simplify right side
    9,937.86x = 78,846,629.73
  5. Step 5: Solve for x
    x = 78,846,629.73/9,937.86
  6. Step 6: Final answer
    x = 7,933.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.