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Finding the Fourth Proportional to 9,779.63, 14,668.67 and 2,759.36

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Solution

The fourth proportional to 9,779.63, 14,668.67 and 2,759.36 is: 4,138.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.63 : 14,668.67 = 2,759.36 : x
  2. Step 2: Convert to fraction form
    9,779.63/14,668.67 = 2,759.36/x
  3. Step 3: Cross multiply
    9,779.63x = 14,668.67 × 2,759.36
  4. Step 4: Simplify right side
    9,779.63x = 40,476,054.11
  5. Step 5: Solve for x
    x = 40,476,054.11/9,779.63
  6. Step 6: Final answer
    x = 4,138.81

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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.