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Finding the Fourth Proportional to 7,004.36, 9,665.96 and 5,219.84

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Solution

The fourth proportional to 7,004.36, 9,665.96 and 5,219.84 is: 7,203.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.36 : 9,665.96 = 5,219.84 : x
  2. Step 2: Convert to fraction form
    7,004.36/9,665.96 = 5,219.84/x
  3. Step 3: Cross multiply
    7,004.36x = 9,665.96 × 5,219.84
  4. Step 4: Simplify right side
    7,004.36x = 50,454,764.65
  5. Step 5: Solve for x
    x = 50,454,764.65/7,004.36
  6. Step 6: Final answer
    x = 7,203.34

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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.