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Finding the Fourth Proportional to 9,250.22, 12,764.84 and 5,474.51

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Solution

The fourth proportional to 9,250.22, 12,764.84 and 5,474.51 is: 7,554.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,250.22 : 12,764.84 = 5,474.51 : x
  2. Step 2: Convert to fraction form
    9,250.22/12,764.84 = 5,474.51/x
  3. Step 3: Cross multiply
    9,250.22x = 12,764.84 × 5,474.51
  4. Step 4: Simplify right side
    9,250.22x = 69,881,153.03
  5. Step 5: Solve for x
    x = 69,881,153.03/9,250.22
  6. Step 6: Final answer
    x = 7,554.54

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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.