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Finding the Fourth Proportional to 9,846.23, 14,766.82 and 2,919.11

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Solution

The fourth proportional to 9,846.23, 14,766.82 and 2,919.11 is: 4,377.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.23 : 14,766.82 = 2,919.11 : x
  2. Step 2: Convert to fraction form
    9,846.23/14,766.82 = 2,919.11/x
  3. Step 3: Cross multiply
    9,846.23x = 14,766.82 × 2,919.11
  4. Step 4: Simplify right side
    9,846.23x = 43,105,971.93
  5. Step 5: Solve for x
    x = 43,105,971.93/9,846.23
  6. Step 6: Final answer
    x = 4,377.92

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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.