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Finding the Fourth Proportional to 6,475.21, 9,714.74 and 2,092.57

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Solution

The fourth proportional to 6,475.21, 9,714.74 and 2,092.57 is: 3,139.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.21 : 9,714.74 = 2,092.57 : x
  2. Step 2: Convert to fraction form
    6,475.21/9,714.74 = 2,092.57/x
  3. Step 3: Cross multiply
    6,475.21x = 9,714.74 × 2,092.57
  4. Step 4: Simplify right side
    6,475.21x = 20,328,738.73
  5. Step 5: Solve for x
    x = 20,328,738.73/6,475.21
  6. Step 6: Final answer
    x = 3,139.47

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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.