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Finding the Fourth Proportional to 6,977.72, 9,628.70 and 3,992.87

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Solution

The fourth proportional to 6,977.72, 9,628.70 and 3,992.87 is: 5,509.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.72 : 9,628.70 = 3,992.87 : x
  2. Step 2: Convert to fraction form
    6,977.72/9,628.70 = 3,992.87/x
  3. Step 3: Cross multiply
    6,977.72x = 9,628.70 × 3,992.87
  4. Step 4: Simplify right side
    6,977.72x = 38,446,147.37
  5. Step 5: Solve for x
    x = 38,446,147.37/6,977.72
  6. Step 6: Final answer
    x = 5,509.84

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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.