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Finding the Fourth Proportional to 9,982.95, 13,775.97 and 6,003.30

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Solution

The fourth proportional to 9,982.95, 13,775.97 and 6,003.30 is: 8,284.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.95 : 13,775.97 = 6,003.30 : x
  2. Step 2: Convert to fraction form
    9,982.95/13,775.97 = 6,003.30/x
  3. Step 3: Cross multiply
    9,982.95x = 13,775.97 × 6,003.30
  4. Step 4: Simplify right side
    9,982.95x = 82,701,280.70
  5. Step 5: Solve for x
    x = 82,701,280.70/9,982.95
  6. Step 6: Final answer
    x = 8,284.25

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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.