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Finding the Fourth Proportional to 6,970.24, 9,618.94 and 3,826.44

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Solution

The fourth proportional to 6,970.24, 9,618.94 and 3,826.44 is: 5,280.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.24 : 9,618.94 = 3,826.44 : x
  2. Step 2: Convert to fraction form
    6,970.24/9,618.94 = 3,826.44/x
  3. Step 3: Cross multiply
    6,970.24x = 9,618.94 × 3,826.44
  4. Step 4: Simplify right side
    6,970.24x = 36,806,296.77
  5. Step 5: Solve for x
    x = 36,806,296.77/6,970.24
  6. Step 6: Final answer
    x = 5,280.49

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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.