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Finding the Fourth Proportional to 9,841.82, 14,765.06 and 3,919.05

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Solution

The fourth proportional to 9,841.82, 14,765.06 and 3,919.05 is: 5,879.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.82 : 14,765.06 = 3,919.05 : x
  2. Step 2: Convert to fraction form
    9,841.82/14,765.06 = 3,919.05/x
  3. Step 3: Cross multiply
    9,841.82x = 14,765.06 × 3,919.05
  4. Step 4: Simplify right side
    9,841.82x = 57,865,045.88
  5. Step 5: Solve for x
    x = 57,865,045.88/9,841.82
  6. Step 6: Final answer
    x = 5,879.51

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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.