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Finding the Fourth Proportional to 9,164.34, 13,744.08 and 3,969

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Solution

The fourth proportional to 9,164.34, 13,744.08 and 3,969 is: 5,952.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.34 : 13,744.08 = 3,969 : x
  2. Step 2: Convert to fraction form
    9,164.34/13,744.08 = 3,969/x
  3. Step 3: Cross multiply
    9,164.34x = 13,744.08 × 3,969
  4. Step 4: Simplify right side
    9,164.34x = 54,550,253.52
  5. Step 5: Solve for x
    x = 54,550,253.52/9,164.34
  6. Step 6: Final answer
    x = 5,952.45

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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.