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Finding the Fourth Proportional to 9,235.82, 12,744.42 and 5,256.56

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Solution

The fourth proportional to 9,235.82, 12,744.42 and 5,256.56 is: 7,253.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.82 : 12,744.42 = 5,256.56 : x
  2. Step 2: Convert to fraction form
    9,235.82/12,744.42 = 5,256.56/x
  3. Step 3: Cross multiply
    9,235.82x = 12,744.42 × 5,256.56
  4. Step 4: Simplify right side
    9,235.82x = 66,991,808.40
  5. Step 5: Solve for x
    x = 66,991,808.40/9,235.82
  6. Step 6: Final answer
    x = 7,253.48

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