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Finding the Fourth Proportional to 9,446.96, 14,161.40 and 3,522.28

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Solution

The fourth proportional to 9,446.96, 14,161.40 and 3,522.28 is: 5,280.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.96 : 14,161.40 = 3,522.28 : x
  2. Step 2: Convert to fraction form
    9,446.96/14,161.40 = 3,522.28/x
  3. Step 3: Cross multiply
    9,446.96x = 14,161.40 × 3,522.28
  4. Step 4: Simplify right side
    9,446.96x = 49,880,415.99
  5. Step 5: Solve for x
    x = 49,880,415.99/9,446.96
  6. Step 6: Final answer
    x = 5,280.05

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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.