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Finding the Fourth Proportional to 6,976.89, 9,628.11 and 3,790.19

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Solution

The fourth proportional to 6,976.89, 9,628.11 and 3,790.19 is: 5,230.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.89 : 9,628.11 = 3,790.19 : x
  2. Step 2: Convert to fraction form
    6,976.89/9,628.11 = 3,790.19/x
  3. Step 3: Cross multiply
    6,976.89x = 9,628.11 × 3,790.19
  4. Step 4: Simplify right side
    6,976.89x = 36,492,318.10
  5. Step 5: Solve for x
    x = 36,492,318.10/6,976.89
  6. Step 6: Final answer
    x = 5,230.46

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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.