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Finding the Fourth Proportional to 7,008.67, 9,671.84 and 3,822.00

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Solution

The fourth proportional to 7,008.67, 9,671.84 and 3,822.00 is: 5,274.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,008.67 : 9,671.84 = 3,822.00 : x
  2. Step 2: Convert to fraction form
    7,008.67/9,671.84 = 3,822.00/x
  3. Step 3: Cross multiply
    7,008.67x = 9,671.84 × 3,822.00
  4. Step 4: Simplify right side
    7,008.67x = 36,965,731.43
  5. Step 5: Solve for x
    x = 36,965,731.43/7,008.67
  6. Step 6: Final answer
    x = 5,274.29

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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.