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Finding the Fourth Proportional to 9,704.96, 13,392.77 and 5,513.21

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Solution

The fourth proportional to 9,704.96, 13,392.77 and 5,513.21 is: 7,608.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.96 : 13,392.77 = 5,513.21 : x
  2. Step 2: Convert to fraction form
    9,704.96/13,392.77 = 5,513.21/x
  3. Step 3: Cross multiply
    9,704.96x = 13,392.77 × 5,513.21
  4. Step 4: Simplify right side
    9,704.96x = 73,837,058.96
  5. Step 5: Solve for x
    x = 73,837,058.96/9,704.96
  6. Step 6: Final answer
    x = 7,608.18

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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.