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Finding the Fourth Proportional to 6,029.01, 9,051.62 and 3,832.29

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Solution

The fourth proportional to 6,029.01, 9,051.62 and 3,832.29 is: 5,753.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,029.01 : 9,051.62 = 3,832.29 : x
  2. Step 2: Convert to fraction form
    6,029.01/9,051.62 = 3,832.29/x
  3. Step 3: Cross multiply
    6,029.01x = 9,051.62 × 3,832.29
  4. Step 4: Simplify right side
    6,029.01x = 34,688,413.65
  5. Step 5: Solve for x
    x = 34,688,413.65/6,029.01
  6. Step 6: Final answer
    x = 5,753.58

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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.