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Finding the Fourth Proportional to 9,625.37, 14,410.71 and 6,328.53

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Solution

The fourth proportional to 9,625.37, 14,410.71 and 6,328.53 is: 9,474.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.37 : 14,410.71 = 6,328.53 : x
  2. Step 2: Convert to fraction form
    9,625.37/14,410.71 = 6,328.53/x
  3. Step 3: Cross multiply
    9,625.37x = 14,410.71 × 6,328.53
  4. Step 4: Simplify right side
    9,625.37x = 91,198,610.56
  5. Step 5: Solve for x
    x = 91,198,610.56/9,625.37
  6. Step 6: Final answer
    x = 9,474.82

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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.