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Finding the Fourth Proportional to 9,775.72, 14,662.42 and 2,756.26

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Solution

The fourth proportional to 9,775.72, 14,662.42 and 2,756.26 is: 4,134.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.72 : 14,662.42 = 2,756.26 : x
  2. Step 2: Convert to fraction form
    9,775.72/14,662.42 = 2,756.26/x
  3. Step 3: Cross multiply
    9,775.72x = 14,662.42 × 2,756.26
  4. Step 4: Simplify right side
    9,775.72x = 40,413,441.75
  5. Step 5: Solve for x
    x = 40,413,441.75/9,775.72
  6. Step 6: Final answer
    x = 4,134.06

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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.