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Finding the Fourth Proportional to 9,216.89, 12,722.03 and 7,971.33

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Solution

The fourth proportional to 9,216.89, 12,722.03 and 7,971.33 is: 11,002.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.89 : 12,722.03 = 7,971.33 : x
  2. Step 2: Convert to fraction form
    9,216.89/12,722.03 = 7,971.33/x
  3. Step 3: Cross multiply
    9,216.89x = 12,722.03 × 7,971.33
  4. Step 4: Simplify right side
    9,216.89x = 101,411,499.40
  5. Step 5: Solve for x
    x = 101,411,499.40/9,216.89
  6. Step 6: Final answer
    x = 11,002.79

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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.