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Finding the Fourth Proportional to 6,970.21, 9,618.87 and 3,826.33

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Solution

The fourth proportional to 6,970.21, 9,618.87 and 3,826.33 is: 5,280.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.21 : 9,618.87 = 3,826.33 : x
  2. Step 2: Convert to fraction form
    6,970.21/9,618.87 = 3,826.33/x
  3. Step 3: Cross multiply
    6,970.21x = 9,618.87 × 3,826.33
  4. Step 4: Simplify right side
    6,970.21x = 36,804,970.85
  5. Step 5: Solve for x
    x = 36,804,970.85/6,970.21
  6. Step 6: Final answer
    x = 5,280.32

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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.