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Finding the Fourth Proportional to 6,977.87, 9,632.00 and 4,620.77

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Solution

The fourth proportional to 6,977.87, 9,632.00 and 4,620.77 is: 6,378.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.87 : 9,632.00 = 4,620.77 : x
  2. Step 2: Convert to fraction form
    6,977.87/9,632.00 = 4,620.77/x
  3. Step 3: Cross multiply
    6,977.87x = 9,632.00 × 4,620.77
  4. Step 4: Simplify right side
    6,977.87x = 44,507,257.62
  5. Step 5: Solve for x
    x = 44,507,257.62/6,977.87
  6. Step 6: Final answer
    x = 6,378.34

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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.