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Finding the Fourth Proportional to 9,650.22, 14,472.73 and 3,409.41

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Solution

The fourth proportional to 9,650.22, 14,472.73 and 3,409.41 is: 5,113.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.22 : 14,472.73 = 3,409.41 : x
  2. Step 2: Convert to fraction form
    9,650.22/14,472.73 = 3,409.41/x
  3. Step 3: Cross multiply
    9,650.22x = 14,472.73 × 3,409.41
  4. Step 4: Simplify right side
    9,650.22x = 49,343,428.34
  5. Step 5: Solve for x
    x = 49,343,428.34/9,650.22
  6. Step 6: Final answer
    x = 5,113.19

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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.