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Finding the Fourth Proportional to 9,321.09, 12,852.33 and 7,431.20

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Solution

The fourth proportional to 9,321.09, 12,852.33 and 7,431.20 is: 10,246.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.09 : 12,852.33 = 7,431.20 : x
  2. Step 2: Convert to fraction form
    9,321.09/12,852.33 = 7,431.20/x
  3. Step 3: Cross multiply
    9,321.09x = 12,852.33 × 7,431.20
  4. Step 4: Simplify right side
    9,321.09x = 95,508,170.43
  5. Step 5: Solve for x
    x = 95,508,170.43/9,321.09
  6. Step 6: Final answer
    x = 10,246.46

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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.