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Finding the Fourth Proportional to 6,164.51, 9,246.83 and 4,930.34

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Solution

The fourth proportional to 6,164.51, 9,246.83 and 4,930.34 is: 7,395.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.51 : 9,246.83 = 4,930.34 : x
  2. Step 2: Convert to fraction form
    6,164.51/9,246.83 = 4,930.34/x
  3. Step 3: Cross multiply
    6,164.51x = 9,246.83 × 4,930.34
  4. Step 4: Simplify right side
    6,164.51x = 45,589,944.94
  5. Step 5: Solve for x
    x = 45,589,944.94/6,164.51
  6. Step 6: Final answer
    x = 7,395.56

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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.