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Finding the Fourth Proportional to 9,549.35, 14,321.25 and 4,002.54

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Solution

The fourth proportional to 9,549.35, 14,321.25 and 4,002.54 is: 6,002.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.35 : 14,321.25 = 4,002.54 : x
  2. Step 2: Convert to fraction form
    9,549.35/14,321.25 = 4,002.54/x
  3. Step 3: Cross multiply
    9,549.35x = 14,321.25 × 4,002.54
  4. Step 4: Simplify right side
    9,549.35x = 57,321,375.98
  5. Step 5: Solve for x
    x = 57,321,375.98/9,549.35
  6. Step 6: Final answer
    x = 6,002.65

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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.