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Finding the Fourth Proportional to 9,731.40, 13,425.33 and 7,185.24

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Solution

The fourth proportional to 9,731.40, 13,425.33 and 7,185.24 is: 9,912.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.40 : 13,425.33 = 7,185.24 : x
  2. Step 2: Convert to fraction form
    9,731.40/13,425.33 = 7,185.24/x
  3. Step 3: Cross multiply
    9,731.40x = 13,425.33 × 7,185.24
  4. Step 4: Simplify right side
    9,731.40x = 96,464,218.13
  5. Step 5: Solve for x
    x = 96,464,218.13/9,731.40
  6. Step 6: Final answer
    x = 9,912.68

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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.