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Finding the Fourth Proportional to 9,446.40, 13,035.51 and 5,254.38

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Solution

The fourth proportional to 9,446.40, 13,035.51 and 5,254.38 is: 7,250.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.40 : 13,035.51 = 5,254.38 : x
  2. Step 2: Convert to fraction form
    9,446.40/13,035.51 = 5,254.38/x
  3. Step 3: Cross multiply
    9,446.40x = 13,035.51 × 5,254.38
  4. Step 4: Simplify right side
    9,446.40x = 68,493,523.03
  5. Step 5: Solve for x
    x = 68,493,523.03/9,446.40
  6. Step 6: Final answer
    x = 7,250.75

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Why These Related Problems?

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