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Finding the Fourth Proportional to 9,838.44, 14,749.43 and 3,999.15

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Solution

The fourth proportional to 9,838.44, 14,749.43 and 3,999.15 is: 5,995.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.44 : 14,749.43 = 3,999.15 : x
  2. Step 2: Convert to fraction form
    9,838.44/14,749.43 = 3,999.15/x
  3. Step 3: Cross multiply
    9,838.44x = 14,749.43 × 3,999.15
  4. Step 4: Simplify right side
    9,838.44x = 58,985,162.99
  5. Step 5: Solve for x
    x = 58,985,162.99/9,838.44
  6. Step 6: Final answer
    x = 5,995.38

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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.