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Finding the Fourth Proportional to 7,024.08, 9,693.42 and 3,837.51

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Solution

The fourth proportional to 7,024.08, 9,693.42 and 3,837.51 is: 5,295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.08 : 9,693.42 = 3,837.51 : x
  2. Step 2: Convert to fraction form
    7,024.08/9,693.42 = 3,837.51/x
  3. Step 3: Cross multiply
    7,024.08x = 9,693.42 × 3,837.51
  4. Step 4: Simplify right side
    7,024.08x = 37,198,550.93
  5. Step 5: Solve for x
    x = 37,198,550.93/7,024.08
  6. Step 6: Final answer
    x = 5,295.86

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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.