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Finding the Fourth Proportional to 9,321.51, 12,865.45 and 5,965.75

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Solution

The fourth proportional to 9,321.51, 12,865.45 and 5,965.75 is: 8,233.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.51 : 12,865.45 = 5,965.75 : x
  2. Step 2: Convert to fraction form
    9,321.51/12,865.45 = 5,965.75/x
  3. Step 3: Cross multiply
    9,321.51x = 12,865.45 × 5,965.75
  4. Step 4: Simplify right side
    9,321.51x = 76,751,994.01
  5. Step 5: Solve for x
    x = 76,751,994.01/9,321.51
  6. Step 6: Final answer
    x = 8,233.86

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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.