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Finding the Fourth Proportional to 9,777.44, 14,669.04 and 3,620

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Solution

The fourth proportional to 9,777.44, 14,669.04 and 3,620 is: 5,431.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.44 : 14,669.04 = 3,620 : x
  2. Step 2: Convert to fraction form
    9,777.44/14,669.04 = 3,620/x
  3. Step 3: Cross multiply
    9,777.44x = 14,669.04 × 3,620
  4. Step 4: Simplify right side
    9,777.44x = 53,101,924.80
  5. Step 5: Solve for x
    x = 53,101,924.80/9,777.44
  6. Step 6: Final answer
    x = 5,431.07

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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.