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Finding the Fourth Proportional to 9,549.93, 14,324.97 and 3,625.22

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Solution

The fourth proportional to 9,549.93, 14,324.97 and 3,625.22 is: 5,437.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.93 : 14,324.97 = 3,625.22 : x
  2. Step 2: Convert to fraction form
    9,549.93/14,324.97 = 3,625.22/x
  3. Step 3: Cross multiply
    9,549.93x = 14,324.97 × 3,625.22
  4. Step 4: Simplify right side
    9,549.93x = 51,931,158.68
  5. Step 5: Solve for x
    x = 51,931,158.68/9,549.93
  6. Step 6: Final answer
    x = 5,437.86

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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.