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Finding the Fourth Proportional to 7,096.44, 9,795.36 and 4,442.16

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Solution

The fourth proportional to 7,096.44, 9,795.36 and 4,442.16 is: 6,131.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.44 : 9,795.36 = 4,442.16 : x
  2. Step 2: Convert to fraction form
    7,096.44/9,795.36 = 4,442.16/x
  3. Step 3: Cross multiply
    7,096.44x = 9,795.36 × 4,442.16
  4. Step 4: Simplify right side
    7,096.44x = 43,512,556.38
  5. Step 5: Solve for x
    x = 43,512,556.38/7,096.44
  6. Step 6: Final answer
    x = 6,131.60

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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.