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Finding the Fourth Proportional to 9,982.37, 13,776.30 and 5,734.76

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Solution

The fourth proportional to 9,982.37, 13,776.30 and 5,734.76 is: 7,914.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.37 : 13,776.30 = 5,734.76 : x
  2. Step 2: Convert to fraction form
    9,982.37/13,776.30 = 5,734.76/x
  3. Step 3: Cross multiply
    9,982.37x = 13,776.30 × 5,734.76
  4. Step 4: Simplify right side
    9,982.37x = 79,003,774.19
  5. Step 5: Solve for x
    x = 79,003,774.19/9,982.37
  6. Step 6: Final answer
    x = 7,914.33

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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.