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Finding the Fourth Proportional to 6,266.88, 9,396.72 and 4,189.26

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Solution

The fourth proportional to 6,266.88, 9,396.72 and 4,189.26 is: 6,281.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.88 : 9,396.72 = 4,189.26 : x
  2. Step 2: Convert to fraction form
    6,266.88/9,396.72 = 4,189.26/x
  3. Step 3: Cross multiply
    6,266.88x = 9,396.72 × 4,189.26
  4. Step 4: Simplify right side
    6,266.88x = 39,365,303.23
  5. Step 5: Solve for x
    x = 39,365,303.23/6,266.88
  6. Step 6: Final answer
    x = 6,281.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.