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Finding the Fourth Proportional to 9,626.75, 14,445.89 and 4,154.75

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Solution

The fourth proportional to 9,626.75, 14,445.89 and 4,154.75 is: 6,234.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626.75 : 14,445.89 = 4,154.75 : x
  2. Step 2: Convert to fraction form
    9,626.75/14,445.89 = 4,154.75/x
  3. Step 3: Cross multiply
    9,626.75x = 14,445.89 × 4,154.75
  4. Step 4: Simplify right side
    9,626.75x = 60,019,040.70
  5. Step 5: Solve for x
    x = 60,019,040.70/9,626.75
  6. Step 6: Final answer
    x = 6,234.61

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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.