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Finding the Fourth Proportional to 12,348.96, 18,525.78 and 6,428.67

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Solution

The fourth proportional to 12,348.96, 18,525.78 and 6,428.67 is: 9,644.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,348.96 : 18,525.78 = 6,428.67 : x
  2. Step 2: Convert to fraction form
    12,348.96/18,525.78 = 6,428.67/x
  3. Step 3: Cross multiply
    12,348.96x = 18,525.78 × 6,428.67
  4. Step 4: Simplify right side
    12,348.96x = 119,096,126.11
  5. Step 5: Solve for x
    x = 119,096,126.11/12,348.96
  6. Step 6: Final answer
    x = 9,644.22

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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.