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Finding the Fourth Proportional to 6,990.76, 9,647.23 and 4,196.26

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Solution

The fourth proportional to 6,990.76, 9,647.23 and 4,196.26 is: 5,790.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,990.76 : 9,647.23 = 4,196.26 : x
  2. Step 2: Convert to fraction form
    6,990.76/9,647.23 = 4,196.26/x
  3. Step 3: Cross multiply
    6,990.76x = 9,647.23 × 4,196.26
  4. Step 4: Simplify right side
    6,990.76x = 40,482,285.36
  5. Step 5: Solve for x
    x = 40,482,285.36/6,990.76
  6. Step 6: Final answer
    x = 5,790.83

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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.