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Finding the Fourth Proportional to 9,462.63, 14,195.64 and 3,222.30

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Solution

The fourth proportional to 9,462.63, 14,195.64 and 3,222.30 is: 4,834.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.63 : 14,195.64 = 3,222.30 : x
  2. Step 2: Convert to fraction form
    9,462.63/14,195.64 = 3,222.30/x
  3. Step 3: Cross multiply
    9,462.63x = 14,195.64 × 3,222.30
  4. Step 4: Simplify right side
    9,462.63x = 45,742,610.77
  5. Step 5: Solve for x
    x = 45,742,610.77/9,462.63
  6. Step 6: Final answer
    x = 4,834.03

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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.