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Finding the Fourth Proportional to 9,777.44, 13,489.34 and 6,422.07

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Solution

The fourth proportional to 9,777.44, 13,489.34 and 6,422.07 is: 8,860.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.44 : 13,489.34 = 6,422.07 : x
  2. Step 2: Convert to fraction form
    9,777.44/13,489.34 = 6,422.07/x
  3. Step 3: Cross multiply
    9,777.44x = 13,489.34 × 6,422.07
  4. Step 4: Simplify right side
    9,777.44x = 86,629,504.21
  5. Step 5: Solve for x
    x = 86,629,504.21/9,777.44
  6. Step 6: Final answer
    x = 8,860.14

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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.