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Finding the Fourth Proportional to 6,271.34, 9,408.02 and 2,111.72

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Solution

The fourth proportional to 6,271.34, 9,408.02 and 2,111.72 is: 3,167.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.34 : 9,408.02 = 2,111.72 : x
  2. Step 2: Convert to fraction form
    6,271.34/9,408.02 = 2,111.72/x
  3. Step 3: Cross multiply
    6,271.34x = 9,408.02 × 2,111.72
  4. Step 4: Simplify right side
    6,271.34x = 19,867,046.40
  5. Step 5: Solve for x
    x = 19,867,046.40/6,271.34
  6. Step 6: Final answer
    x = 3,167.91

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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.