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Finding the Fourth Proportional to 7,120.72, 9,826.96 and 4,288.56

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Solution

The fourth proportional to 7,120.72, 9,826.96 and 4,288.56 is: 5,918.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,120.72 : 9,826.96 = 4,288.56 : x
  2. Step 2: Convert to fraction form
    7,120.72/9,826.96 = 4,288.56/x
  3. Step 3: Cross multiply
    7,120.72x = 9,826.96 × 4,288.56
  4. Step 4: Simplify right side
    7,120.72x = 42,143,507.58
  5. Step 5: Solve for x
    x = 42,143,507.58/7,120.72
  6. Step 6: Final answer
    x = 5,918.43

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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.