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Finding the Fourth Proportional to 10,450.12, 14,420.12 and 6,469.76

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Solution

The fourth proportional to 10,450.12, 14,420.12 and 6,469.76 is: 8,927.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.12 : 14,420.12 = 6,469.76 : x
  2. Step 2: Convert to fraction form
    10,450.12/14,420.12 = 6,469.76/x
  3. Step 3: Cross multiply
    10,450.12x = 14,420.12 × 6,469.76
  4. Step 4: Simplify right side
    10,450.12x = 93,294,715.57
  5. Step 5: Solve for x
    x = 93,294,715.57/10,450.12
  6. Step 6: Final answer
    x = 8,927.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.