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Finding the Fourth Proportional to 6,271.83, 9,408.96 and 3,152.52

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Solution

The fourth proportional to 6,271.83, 9,408.96 and 3,152.52 is: 4,729.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.83 : 9,408.96 = 3,152.52 : x
  2. Step 2: Convert to fraction form
    6,271.83/9,408.96 = 3,152.52/x
  3. Step 3: Cross multiply
    6,271.83x = 9,408.96 × 3,152.52
  4. Step 4: Simplify right side
    6,271.83x = 29,661,934.58
  5. Step 5: Solve for x
    x = 29,661,934.58/6,271.83
  6. Step 6: Final answer
    x = 4,729.39

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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.