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Finding the Fourth Proportional to 9,471.36, 14,211.14 and 5,083.69

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Solution

The fourth proportional to 9,471.36, 14,211.14 and 5,083.69 is: 7,627.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.36 : 14,211.14 = 5,083.69 : x
  2. Step 2: Convert to fraction form
    9,471.36/14,211.14 = 5,083.69/x
  3. Step 3: Cross multiply
    9,471.36x = 14,211.14 × 5,083.69
  4. Step 4: Simplify right side
    9,471.36x = 72,245,004.89
  5. Step 5: Solve for x
    x = 72,245,004.89/9,471.36
  6. Step 6: Final answer
    x = 7,627.73

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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.