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Finding the Fourth Proportional to 9,431.50, 13,015.48 and 5,240.14

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Solution

The fourth proportional to 9,431.50, 13,015.48 and 5,240.14 is: 7,231.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431.50 : 13,015.48 = 5,240.14 : x
  2. Step 2: Convert to fraction form
    9,431.50/13,015.48 = 5,240.14/x
  3. Step 3: Cross multiply
    9,431.50x = 13,015.48 × 5,240.14
  4. Step 4: Simplify right side
    9,431.50x = 68,202,937.37
  5. Step 5: Solve for x
    x = 68,202,937.37/9,431.50
  6. Step 6: Final answer
    x = 7,231.40

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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.