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Finding the Fourth Proportional to 6,970.40, 9,619.04 and 3,826.56

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Solution

The fourth proportional to 6,970.40, 9,619.04 and 3,826.56 is: 5,280.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.40 : 9,619.04 = 3,826.56 : x
  2. Step 2: Convert to fraction form
    6,970.40/9,619.04 = 3,826.56/x
  3. Step 3: Cross multiply
    6,970.40x = 9,619.04 × 3,826.56
  4. Step 4: Simplify right side
    6,970.40x = 36,807,833.70
  5. Step 5: Solve for x
    x = 36,807,833.70/6,970.40
  6. Step 6: Final answer
    x = 5,280.59

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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.