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Finding the Fourth Proportional to 6,107.66, 9,154.53 and 3,637.26

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Solution

The fourth proportional to 6,107.66, 9,154.53 and 3,637.26 is: 5,451.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.66 : 9,154.53 = 3,637.26 : x
  2. Step 2: Convert to fraction form
    6,107.66/9,154.53 = 3,637.26/x
  3. Step 3: Cross multiply
    6,107.66x = 9,154.53 × 3,637.26
  4. Step 4: Simplify right side
    6,107.66x = 33,297,405.79
  5. Step 5: Solve for x
    x = 33,297,405.79/6,107.66
  6. Step 6: Final answer
    x = 5,451.75

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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.