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Finding the Fourth Proportional to 9,705.93, 14,556.24 and 2,684.27

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Solution

The fourth proportional to 9,705.93, 14,556.24 and 2,684.27 is: 4,025.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.93 : 14,556.24 = 2,684.27 : x
  2. Step 2: Convert to fraction form
    9,705.93/14,556.24 = 2,684.27/x
  3. Step 3: Cross multiply
    9,705.93x = 14,556.24 × 2,684.27
  4. Step 4: Simplify right side
    9,705.93x = 39,072,805.56
  5. Step 5: Solve for x
    x = 39,072,805.56/9,705.93
  6. Step 6: Final answer
    x = 4,025.66

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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.