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Finding the Fourth Proportional to 9,744.25, 13,447.05 and 5,268.01

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Solution

The fourth proportional to 9,744.25, 13,447.05 and 5,268.01 is: 7,269.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.25 : 13,447.05 = 5,268.01 : x
  2. Step 2: Convert to fraction form
    9,744.25/13,447.05 = 5,268.01/x
  3. Step 3: Cross multiply
    9,744.25x = 13,447.05 × 5,268.01
  4. Step 4: Simplify right side
    9,744.25x = 70,839,126.64
  5. Step 5: Solve for x
    x = 70,839,126.64/9,744.25
  6. Step 6: Final answer
    x = 7,269.84

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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.