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Finding the Fourth Proportional to 6,774.10, 9,348.24 and 3,790.06

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Solution

The fourth proportional to 6,774.10, 9,348.24 and 3,790.06 is: 5,230.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.10 : 9,348.24 = 3,790.06 : x
  2. Step 2: Convert to fraction form
    6,774.10/9,348.24 = 3,790.06/x
  3. Step 3: Cross multiply
    6,774.10x = 9,348.24 × 3,790.06
  4. Step 4: Simplify right side
    6,774.10x = 35,430,390.49
  5. Step 5: Solve for x
    x = 35,430,390.49/6,774.10
  6. Step 6: Final answer
    x = 5,230.27

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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.