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Finding the Fourth Proportional to 9,725.00, 13,408.22 and 6,362.49

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Solution

The fourth proportional to 9,725.00, 13,408.22 and 6,362.49 is: 8,772.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725.00 : 13,408.22 = 6,362.49 : x
  2. Step 2: Convert to fraction form
    9,725.00/13,408.22 = 6,362.49/x
  3. Step 3: Cross multiply
    9,725.00x = 13,408.22 × 6,362.49
  4. Step 4: Simplify right side
    9,725.00x = 85,309,681.57
  5. Step 5: Solve for x
    x = 85,309,681.57/9,725.00
  6. Step 6: Final answer
    x = 8,772.20

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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.