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Finding the Fourth Proportional to 9,164.72, 13,744.33 and 4,779.78

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Solution

The fourth proportional to 9,164.72, 13,744.33 and 4,779.78 is: 7,168.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.72 : 13,744.33 = 4,779.78 : x
  2. Step 2: Convert to fraction form
    9,164.72/13,744.33 = 4,779.78/x
  3. Step 3: Cross multiply
    9,164.72x = 13,744.33 × 4,779.78
  4. Step 4: Simplify right side
    9,164.72x = 65,694,896.06
  5. Step 5: Solve for x
    x = 65,694,896.06/9,164.72
  6. Step 6: Final answer
    x = 7,168.24

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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.