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Finding the Fourth Proportional to 9,883.26, 14,830.70 and 3,647.62

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Solution

The fourth proportional to 9,883.26, 14,830.70 and 3,647.62 is: 5,473.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.26 : 14,830.70 = 3,647.62 : x
  2. Step 2: Convert to fraction form
    9,883.26/14,830.70 = 3,647.62/x
  3. Step 3: Cross multiply
    9,883.26x = 14,830.70 × 3,647.62
  4. Step 4: Simplify right side
    9,883.26x = 54,096,757.93
  5. Step 5: Solve for x
    x = 54,096,757.93/9,883.26
  6. Step 6: Final answer
    x = 5,473.57

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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.