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Finding the Fourth Proportional to 6,786.78, 9,341.69 and 5,015.31

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Solution

The fourth proportional to 6,786.78, 9,341.69 and 5,015.31 is: 6,903.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.78 : 9,341.69 = 5,015.31 : x
  2. Step 2: Convert to fraction form
    6,786.78/9,341.69 = 5,015.31/x
  3. Step 3: Cross multiply
    6,786.78x = 9,341.69 × 5,015.31
  4. Step 4: Simplify right side
    6,786.78x = 46,851,471.27
  5. Step 5: Solve for x
    x = 46,851,471.27/6,786.78
  6. Step 6: Final answer
    x = 6,903.34

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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.