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Finding the Fourth Proportional to 6,986.16, 9,638.04 and 4,467.60

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Solution

The fourth proportional to 6,986.16, 9,638.04 and 4,467.60 is: 6,163.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.16 : 9,638.04 = 4,467.60 : x
  2. Step 2: Convert to fraction form
    6,986.16/9,638.04 = 4,467.60/x
  3. Step 3: Cross multiply
    6,986.16x = 9,638.04 × 4,467.60
  4. Step 4: Simplify right side
    6,986.16x = 43,058,907.50
  5. Step 5: Solve for x
    x = 43,058,907.50/6,986.16
  6. Step 6: Final answer
    x = 6,163.46

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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.