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Finding the Fourth Proportional to 6,278.21, 9,454.04 and 4,646.27

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Solution

The fourth proportional to 6,278.21, 9,454.04 and 4,646.27 is: 6,996.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.21 : 9,454.04 = 4,646.27 : x
  2. Step 2: Convert to fraction form
    6,278.21/9,454.04 = 4,646.27/x
  3. Step 3: Cross multiply
    6,278.21x = 9,454.04 × 4,646.27
  4. Step 4: Simplify right side
    6,278.21x = 43,926,022.43
  5. Step 5: Solve for x
    x = 43,926,022.43/6,278.21
  6. Step 6: Final answer
    x = 6,996.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.