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Finding the Fourth Proportional to 6,767.91, 9,337.52 and 3,783.26

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Solution

The fourth proportional to 6,767.91, 9,337.52 and 3,783.26 is: 5,219.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.91 : 9,337.52 = 3,783.26 : x
  2. Step 2: Convert to fraction form
    6,767.91/9,337.52 = 3,783.26/x
  3. Step 3: Cross multiply
    6,767.91x = 9,337.52 × 3,783.26
  4. Step 4: Simplify right side
    6,767.91x = 35,326,200.31
  5. Step 5: Solve for x
    x = 35,326,200.31/6,767.91
  6. Step 6: Final answer
    x = 5,219.66

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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.