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Finding the Fourth Proportional to 9,164.49, 13,749.09 and 4,237.66

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Solution

The fourth proportional to 9,164.49, 13,749.09 and 4,237.66 is: 6,357.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.49 : 13,749.09 = 4,237.66 : x
  2. Step 2: Convert to fraction form
    9,164.49/13,749.09 = 4,237.66/x
  3. Step 3: Cross multiply
    9,164.49x = 13,749.09 × 4,237.66
  4. Step 4: Simplify right side
    9,164.49x = 58,263,968.73
  5. Step 5: Solve for x
    x = 58,263,968.73/9,164.49
  6. Step 6: Final answer
    x = 6,357.58

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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.