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Finding the Fourth Proportional to 6,970.44, 9,619.24 and 3,826.63

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Solution

The fourth proportional to 6,970.44, 9,619.24 and 3,826.63 is: 5,280.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.44 : 9,619.24 = 3,826.63 : x
  2. Step 2: Convert to fraction form
    6,970.44/9,619.24 = 3,826.63/x
  3. Step 3: Cross multiply
    6,970.44x = 9,619.24 × 3,826.63
  4. Step 4: Simplify right side
    6,970.44x = 36,809,224.27
  5. Step 5: Solve for x
    x = 36,809,224.27/6,970.44
  6. Step 6: Final answer
    x = 5,280.76

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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.