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Finding the Fourth Proportional to 9,755.54, 13,453.44 and 6,401.24

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Solution

The fourth proportional to 9,755.54, 13,453.44 and 6,401.24 is: 8,827.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.54 : 13,453.44 = 6,401.24 : x
  2. Step 2: Convert to fraction form
    9,755.54/13,453.44 = 6,401.24/x
  3. Step 3: Cross multiply
    9,755.54x = 13,453.44 × 6,401.24
  4. Step 4: Simplify right side
    9,755.54x = 86,118,698.27
  5. Step 5: Solve for x
    x = 86,118,698.27/9,755.54
  6. Step 6: Final answer
    x = 8,827.67

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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.