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Finding the Fourth Proportional to 6,671.42, 9,206.75 and 3,984.21

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Solution

The fourth proportional to 6,671.42, 9,206.75 and 3,984.21 is: 5,498.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,671.42 : 9,206.75 = 3,984.21 : x
  2. Step 2: Convert to fraction form
    6,671.42/9,206.75 = 3,984.21/x
  3. Step 3: Cross multiply
    6,671.42x = 9,206.75 × 3,984.21
  4. Step 4: Simplify right side
    6,671.42x = 36,681,625.42
  5. Step 5: Solve for x
    x = 36,681,625.42/6,671.42
  6. Step 6: Final answer
    x = 5,498.32

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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.