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Finding the Fourth Proportional to 6,735.86, 9,304.56 and 6,107.09

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Solution

The fourth proportional to 6,735.86, 9,304.56 and 6,107.09 is: 8,436.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.86 : 9,304.56 = 6,107.09 : x
  2. Step 2: Convert to fraction form
    6,735.86/9,304.56 = 6,107.09/x
  3. Step 3: Cross multiply
    6,735.86x = 9,304.56 × 6,107.09
  4. Step 4: Simplify right side
    6,735.86x = 56,823,754.79
  5. Step 5: Solve for x
    x = 56,823,754.79/6,735.86
  6. Step 6: Final answer
    x = 8,436.01

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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.