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Finding the Fourth Proportional to 6,477.58, 9,716.37 and 3,190.06

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Solution

The fourth proportional to 6,477.58, 9,716.37 and 3,190.06 is: 4,785.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.58 : 9,716.37 = 3,190.06 : x
  2. Step 2: Convert to fraction form
    6,477.58/9,716.37 = 3,190.06/x
  3. Step 3: Cross multiply
    6,477.58x = 9,716.37 × 3,190.06
  4. Step 4: Simplify right side
    6,477.58x = 30,995,803.28
  5. Step 5: Solve for x
    x = 30,995,803.28/6,477.58
  6. Step 6: Final answer
    x = 4,785.09

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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.