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Finding the Fourth Proportional to 9,707.36, 14,546.62 and 5,021.12

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Solution

The fourth proportional to 9,707.36, 14,546.62 and 5,021.12 is: 7,524.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.36 : 14,546.62 = 5,021.12 : x
  2. Step 2: Convert to fraction form
    9,707.36/14,546.62 = 5,021.12/x
  3. Step 3: Cross multiply
    9,707.36x = 14,546.62 × 5,021.12
  4. Step 4: Simplify right side
    9,707.36x = 73,040,324.61
  5. Step 5: Solve for x
    x = 73,040,324.61/9,707.36
  6. Step 6: Final answer
    x = 7,524.22

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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.