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Finding the Fourth Proportional to 9,549.89, 14,327.32 and 3,626.88

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Solution

The fourth proportional to 9,549.89, 14,327.32 and 3,626.88 is: 5,441.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.89 : 14,327.32 = 3,626.88 : x
  2. Step 2: Convert to fraction form
    9,549.89/14,327.32 = 3,626.88/x
  3. Step 3: Cross multiply
    9,549.89x = 14,327.32 × 3,626.88
  4. Step 4: Simplify right side
    9,549.89x = 51,963,494.96
  5. Step 5: Solve for x
    x = 51,963,494.96/9,549.89
  6. Step 6: Final answer
    x = 5,441.26

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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.