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Finding the Fourth Proportional to 9,576, 14,365.44 and 3,421.44

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Solution

The fourth proportional to 9,576, 14,365.44 and 3,421.44 is: 5,132.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576 : 14,365.44 = 3,421.44 : x
  2. Step 2: Convert to fraction form
    9,576/14,365.44 = 3,421.44/x
  3. Step 3: Cross multiply
    9,576x = 14,365.44 × 3,421.44
  4. Step 4: Simplify right side
    9,576x = 49,150,491.03
  5. Step 5: Solve for x
    x = 49,150,491.03/9,576
  6. Step 6: Final answer
    x = 5,132.67

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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.