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Finding the Fourth Proportional to 6,107.46, 9,164.07 and 3,334.02

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Solution

The fourth proportional to 6,107.46, 9,164.07 and 3,334.02 is: 5,002.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.46 : 9,164.07 = 3,334.02 : x
  2. Step 2: Convert to fraction form
    6,107.46/9,164.07 = 3,334.02/x
  3. Step 3: Cross multiply
    6,107.46x = 9,164.07 × 3,334.02
  4. Step 4: Simplify right side
    6,107.46x = 30,553,192.66
  5. Step 5: Solve for x
    x = 30,553,192.66/6,107.46
  6. Step 6: Final answer
    x = 5,002.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.