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Finding the Fourth Proportional to 9,268.96, 13,908.88 and 3,429.64

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Solution

The fourth proportional to 9,268.96, 13,908.88 and 3,429.64 is: 5,146.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,268.96 : 13,908.88 = 3,429.64 : x
  2. Step 2: Convert to fraction form
    9,268.96/13,908.88 = 3,429.64/x
  3. Step 3: Cross multiply
    9,268.96x = 13,908.88 × 3,429.64
  4. Step 4: Simplify right side
    9,268.96x = 47,702,451.20
  5. Step 5: Solve for x
    x = 47,702,451.20/9,268.96
  6. Step 6: Final answer
    x = 5,146.47

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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.