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Finding the Fourth Proportional to 9,971.62, 13,762.94 and 5,723.37

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Solution

The fourth proportional to 9,971.62, 13,762.94 and 5,723.37 is: 7,899.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.62 : 13,762.94 = 5,723.37 : x
  2. Step 2: Convert to fraction form
    9,971.62/13,762.94 = 5,723.37/x
  3. Step 3: Cross multiply
    9,971.62x = 13,762.94 × 5,723.37
  4. Step 4: Simplify right side
    9,971.62x = 78,770,397.91
  5. Step 5: Solve for x
    x = 78,770,397.91/9,971.62
  6. Step 6: Final answer
    x = 7,899.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.