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Finding the Fourth Proportional to 6,990.80, 9,647.35 and 3,804.16

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Solution

The fourth proportional to 6,990.80, 9,647.35 and 3,804.16 is: 5,249.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,990.80 : 9,647.35 = 3,804.16 : x
  2. Step 2: Convert to fraction form
    6,990.80/9,647.35 = 3,804.16/x
  3. Step 3: Cross multiply
    6,990.80x = 9,647.35 × 3,804.16
  4. Step 4: Simplify right side
    6,990.80x = 36,700,062.98
  5. Step 5: Solve for x
    x = 36,700,062.98/6,990.80
  6. Step 6: Final answer
    x = 5,249.77

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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.