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Finding the Fourth Proportional to 7,103.44, 9,804 and 4,453.12

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Solution

The fourth proportional to 7,103.44, 9,804 and 4,453.12 is: 6,146.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.44 : 9,804 = 4,453.12 : x
  2. Step 2: Convert to fraction form
    7,103.44/9,804 = 4,453.12/x
  3. Step 3: Cross multiply
    7,103.44x = 9,804 × 4,453.12
  4. Step 4: Simplify right side
    7,103.44x = 43,658,388.48
  5. Step 5: Solve for x
    x = 43,658,388.48/7,103.44
  6. Step 6: Final answer
    x = 6,146.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.