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Finding the Fourth Proportional to 7,134.75, 9,846.73 and 4,152.22

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Solution

The fourth proportional to 7,134.75, 9,846.73 and 4,152.22 is: 5,730.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.75 : 9,846.73 = 4,152.22 : x
  2. Step 2: Convert to fraction form
    7,134.75/9,846.73 = 4,152.22/x
  3. Step 3: Cross multiply
    7,134.75x = 9,846.73 × 4,152.22
  4. Step 4: Simplify right side
    7,134.75x = 40,885,789.24
  5. Step 5: Solve for x
    x = 40,885,789.24/7,134.75
  6. Step 6: Final answer
    x = 5,730.51

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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.