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Finding the Fourth Proportional to 7,233.63, 9,982.62 and 4,089.75

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Solution

The fourth proportional to 7,233.63, 9,982.62 and 4,089.75 is: 5,643.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,233.63 : 9,982.62 = 4,089.75 : x
  2. Step 2: Convert to fraction form
    7,233.63/9,982.62 = 4,089.75/x
  3. Step 3: Cross multiply
    7,233.63x = 9,982.62 × 4,089.75
  4. Step 4: Simplify right side
    7,233.63x = 40,826,420.15
  5. Step 5: Solve for x
    x = 40,826,420.15/7,233.63
  6. Step 6: Final answer
    x = 5,643.97

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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.