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Finding the Fourth Proportional to 9,739.78, 14,609.57 and 3,166.22

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Solution

The fourth proportional to 9,739.78, 14,609.57 and 3,166.22 is: 4,749.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.78 : 14,609.57 = 3,166.22 : x
  2. Step 2: Convert to fraction form
    9,739.78/14,609.57 = 3,166.22/x
  3. Step 3: Cross multiply
    9,739.78x = 14,609.57 × 3,166.22
  4. Step 4: Simplify right side
    9,739.78x = 46,257,133.42
  5. Step 5: Solve for x
    x = 46,257,133.42/9,739.78
  6. Step 6: Final answer
    x = 4,749.30

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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.