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Finding the Fourth Proportional to 6,968.22, 9,619.88 and 5,371.38

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Solution

The fourth proportional to 6,968.22, 9,619.88 and 5,371.38 is: 7,415.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.22 : 9,619.88 = 5,371.38 : x
  2. Step 2: Convert to fraction form
    6,968.22/9,619.88 = 5,371.38/x
  3. Step 3: Cross multiply
    6,968.22x = 9,619.88 × 5,371.38
  4. Step 4: Simplify right side
    6,968.22x = 51,672,004.18
  5. Step 5: Solve for x
    x = 51,672,004.18/6,968.22
  6. Step 6: Final answer
    x = 7,415.38

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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.