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Finding the Fourth Proportional to 6,274.00, 9,408.02 and 3,642.31

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Solution

The fourth proportional to 6,274.00, 9,408.02 and 3,642.31 is: 5,461.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.00 : 9,408.02 = 3,642.31 : x
  2. Step 2: Convert to fraction form
    6,274.00/9,408.02 = 3,642.31/x
  3. Step 3: Cross multiply
    6,274.00x = 9,408.02 × 3,642.31
  4. Step 4: Simplify right side
    6,274.00x = 34,266,907.11
  5. Step 5: Solve for x
    x = 34,266,907.11/6,274.00
  6. Step 6: Final answer
    x = 5,461.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.