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Finding the Fourth Proportional to 6,494.37, 9,733.86 and 2,981.42

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Solution

The fourth proportional to 6,494.37, 9,733.86 and 2,981.42 is: 4,468.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.37 : 9,733.86 = 2,981.42 : x
  2. Step 2: Convert to fraction form
    6,494.37/9,733.86 = 2,981.42/x
  3. Step 3: Cross multiply
    6,494.37x = 9,733.86 × 2,981.42
  4. Step 4: Simplify right side
    6,494.37x = 29,020,724.88
  5. Step 5: Solve for x
    x = 29,020,724.88/6,494.37
  6. Step 6: Final answer
    x = 4,468.60

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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.