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Finding the Fourth Proportional to 9,548.12, 13,182.84 and 7,305.99

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Solution

The fourth proportional to 9,548.12, 13,182.84 and 7,305.99 is: 10,087.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.12 : 13,182.84 = 7,305.99 : x
  2. Step 2: Convert to fraction form
    9,548.12/13,182.84 = 7,305.99/x
  3. Step 3: Cross multiply
    9,548.12x = 13,182.84 × 7,305.99
  4. Step 4: Simplify right side
    9,548.12x = 96,313,660.68
  5. Step 5: Solve for x
    x = 96,313,660.68/9,548.12
  6. Step 6: Final answer
    x = 10,087.19

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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.