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Finding the Fourth Proportional to 10,428.24, 15,626.82 and 9,440.46

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Solution

The fourth proportional to 10,428.24, 15,626.82 and 9,440.46 is: 14,146.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.24 : 15,626.82 = 9,440.46 : x
  2. Step 2: Convert to fraction form
    10,428.24/15,626.82 = 9,440.46/x
  3. Step 3: Cross multiply
    10,428.24x = 15,626.82 × 9,440.46
  4. Step 4: Simplify right side
    10,428.24x = 147,524,369.14
  5. Step 5: Solve for x
    x = 147,524,369.14/10,428.24
  6. Step 6: Final answer
    x = 14,146.62

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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.