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Finding the Fourth Proportional to 9,294.56, 13,942.64 and 3,052.68

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Solution

The fourth proportional to 9,294.56, 13,942.64 and 3,052.68 is: 4,579.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.56 : 13,942.64 = 3,052.68 : x
  2. Step 2: Convert to fraction form
    9,294.56/13,942.64 = 3,052.68/x
  3. Step 3: Cross multiply
    9,294.56x = 13,942.64 × 3,052.68
  4. Step 4: Simplify right side
    9,294.56x = 42,562,418.28
  5. Step 5: Solve for x
    x = 42,562,418.28/9,294.56
  6. Step 6: Final answer
    x = 4,579.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.