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Finding the Fourth Proportional to 9,982.64, 13,775.64 and 5,790.56

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Solution

The fourth proportional to 9,982.64, 13,775.64 and 5,790.56 is: 7,990.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.64 : 13,775.64 = 5,790.56 : x
  2. Step 2: Convert to fraction form
    9,982.64/13,775.64 = 5,790.56/x
  3. Step 3: Cross multiply
    9,982.64x = 13,775.64 × 5,790.56
  4. Step 4: Simplify right side
    9,982.64x = 79,768,669.96
  5. Step 5: Solve for x
    x = 79,768,669.96/9,982.64
  6. Step 6: Final answer
    x = 7,990.74

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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.