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Finding the Fourth Proportional to 6,904.63, 9,528.83 and 3,919.33

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Solution

The fourth proportional to 6,904.63, 9,528.83 and 3,919.33 is: 5,408.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.63 : 9,528.83 = 3,919.33 : x
  2. Step 2: Convert to fraction form
    6,904.63/9,528.83 = 3,919.33/x
  3. Step 3: Cross multiply
    6,904.63x = 9,528.83 × 3,919.33
  4. Step 4: Simplify right side
    6,904.63x = 37,346,629.28
  5. Step 5: Solve for x
    x = 37,346,629.28/6,904.63
  6. Step 6: Final answer
    x = 5,408.93

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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.