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Finding the Fourth Proportional to 9,294.67, 13,943.40 and 3,052.54

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Solution

The fourth proportional to 9,294.67, 13,943.40 and 3,052.54 is: 4,579.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.67 : 13,943.40 = 3,052.54 : x
  2. Step 2: Convert to fraction form
    9,294.67/13,943.40 = 3,052.54/x
  3. Step 3: Cross multiply
    9,294.67x = 13,943.40 × 3,052.54
  4. Step 4: Simplify right side
    9,294.67x = 42,562,786.24
  5. Step 5: Solve for x
    x = 42,562,786.24/9,294.67
  6. Step 6: Final answer
    x = 4,579.27

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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.