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Finding the Fourth Proportional to 6,201.70, 9,295.32 and 2,862.94

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Solution

The fourth proportional to 6,201.70, 9,295.32 and 2,862.94 is: 4,291.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.70 : 9,295.32 = 2,862.94 : x
  2. Step 2: Convert to fraction form
    6,201.70/9,295.32 = 2,862.94/x
  3. Step 3: Cross multiply
    6,201.70x = 9,295.32 × 2,862.94
  4. Step 4: Simplify right side
    6,201.70x = 26,611,943.44
  5. Step 5: Solve for x
    x = 26,611,943.44/6,201.70
  6. Step 6: Final answer
    x = 4,291.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.