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Finding the Fourth Proportional to 9,344.77, 14,017.07 and 3,105.24

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Solution

The fourth proportional to 9,344.77, 14,017.07 and 3,105.24 is: 4,657.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.77 : 14,017.07 = 3,105.24 : x
  2. Step 2: Convert to fraction form
    9,344.77/14,017.07 = 3,105.24/x
  3. Step 3: Cross multiply
    9,344.77x = 14,017.07 × 3,105.24
  4. Step 4: Simplify right side
    9,344.77x = 43,526,343.60
  5. Step 5: Solve for x
    x = 43,526,343.60/9,344.77
  6. Step 6: Final answer
    x = 4,657.83

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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.