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Finding the Fourth Proportional to 6,990.26, 9,646.74 and 3,846.64

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Solution

The fourth proportional to 6,990.26, 9,646.74 and 3,846.64 is: 5,308.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,990.26 : 9,646.74 = 3,846.64 : x
  2. Step 2: Convert to fraction form
    6,990.26/9,646.74 = 3,846.64/x
  3. Step 3: Cross multiply
    6,990.26x = 9,646.74 × 3,846.64
  4. Step 4: Simplify right side
    6,990.26x = 37,107,535.95
  5. Step 5: Solve for x
    x = 37,107,535.95/6,990.26
  6. Step 6: Final answer
    x = 5,308.46

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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.