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Finding the Fourth Proportional to 6,764.84, 9,338.09 and 6,055.43

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Solution

The fourth proportional to 6,764.84, 9,338.09 and 6,055.43 is: 8,358.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,764.84 : 9,338.09 = 6,055.43 : x
  2. Step 2: Convert to fraction form
    6,764.84/9,338.09 = 6,055.43/x
  3. Step 3: Cross multiply
    6,764.84x = 9,338.09 × 6,055.43
  4. Step 4: Simplify right side
    6,764.84x = 56,546,188.81
  5. Step 5: Solve for x
    x = 56,546,188.81/6,764.84
  6. Step 6: Final answer
    x = 8,358.83

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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.