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Finding the Fourth Proportional to 6,311.66, 9,467.08 and 1,929.15

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Solution

The fourth proportional to 6,311.66, 9,467.08 and 1,929.15 is: 2,893.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.66 : 9,467.08 = 1,929.15 : x
  2. Step 2: Convert to fraction form
    6,311.66/9,467.08 = 1,929.15/x
  3. Step 3: Cross multiply
    6,311.66x = 9,467.08 × 1,929.15
  4. Step 4: Simplify right side
    6,311.66x = 18,263,412.56
  5. Step 5: Solve for x
    x = 18,263,412.56/6,311.66
  6. Step 6: Final answer
    x = 2,893.60

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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.