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Finding the Fourth Proportional to 9,664.36, 14,500.22 and 3,739.62

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Solution

The fourth proportional to 9,664.36, 14,500.22 and 3,739.62 is: 5,610.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.36 : 14,500.22 = 3,739.62 : x
  2. Step 2: Convert to fraction form
    9,664.36/14,500.22 = 3,739.62/x
  3. Step 3: Cross multiply
    9,664.36x = 14,500.22 × 3,739.62
  4. Step 4: Simplify right side
    9,664.36x = 54,225,266.83
  5. Step 5: Solve for x
    x = 54,225,266.83/9,664.36
  6. Step 6: Final answer
    x = 5,610.85

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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.