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Finding the Fourth Proportional to 6,990.21, 9,646.96 and 3,846.40

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Solution

The fourth proportional to 6,990.21, 9,646.96 and 3,846.40 is: 5,308.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,990.21 : 9,646.96 = 3,846.40 : x
  2. Step 2: Convert to fraction form
    6,990.21/9,646.96 = 3,846.40/x
  3. Step 3: Cross multiply
    6,990.21x = 9,646.96 × 3,846.40
  4. Step 4: Simplify right side
    6,990.21x = 37,106,066.94
  5. Step 5: Solve for x
    x = 37,106,066.94/6,990.21
  6. Step 6: Final answer
    x = 5,308.29

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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.