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Finding the Fourth Proportional to 9,540.97, 14,309.12 and 7,455.80

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Solution

The fourth proportional to 9,540.97, 14,309.12 and 7,455.80 is: 11,181.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,540.97 : 14,309.12 = 7,455.80 : x
  2. Step 2: Convert to fraction form
    9,540.97/14,309.12 = 7,455.80/x
  3. Step 3: Cross multiply
    9,540.97x = 14,309.12 × 7,455.80
  4. Step 4: Simplify right side
    9,540.97x = 106,685,828.07
  5. Step 5: Solve for x
    x = 106,685,828.07/9,540.97
  6. Step 6: Final answer
    x = 11,181.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.