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Finding the Fourth Proportional to 9,851.56, 14,782.86 and 5,234.44

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Solution

The fourth proportional to 9,851.56, 14,782.86 and 5,234.44 is: 7,854.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.56 : 14,782.86 = 5,234.44 : x
  2. Step 2: Convert to fraction form
    9,851.56/14,782.86 = 5,234.44/x
  3. Step 3: Cross multiply
    9,851.56x = 14,782.86 × 5,234.44
  4. Step 4: Simplify right side
    9,851.56x = 77,379,993.70
  5. Step 5: Solve for x
    x = 77,379,993.70/9,851.56
  6. Step 6: Final answer
    x = 7,854.59

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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.