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Finding the Fourth Proportional to 6,033.99, 9,035.31 and 4,165.66

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Solution

The fourth proportional to 6,033.99, 9,035.31 and 4,165.66 is: 6,237.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,033.99 : 9,035.31 = 4,165.66 : x
  2. Step 2: Convert to fraction form
    6,033.99/9,035.31 = 4,165.66/x
  3. Step 3: Cross multiply
    6,033.99x = 9,035.31 × 4,165.66
  4. Step 4: Simplify right side
    6,033.99x = 37,637,984.28
  5. Step 5: Solve for x
    x = 37,637,984.28/6,033.99
  6. Step 6: Final answer
    x = 6,237.66

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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.