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Finding the Fourth Proportional to 9,268.94, 13,902.60 and 3,425.60

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Solution

The fourth proportional to 9,268.94, 13,902.60 and 3,425.60 is: 5,138.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,268.94 : 13,902.60 = 3,425.60 : x
  2. Step 2: Convert to fraction form
    9,268.94/13,902.60 = 3,425.60/x
  3. Step 3: Cross multiply
    9,268.94x = 13,902.60 × 3,425.60
  4. Step 4: Simplify right side
    9,268.94x = 47,624,746.56
  5. Step 5: Solve for x
    x = 47,624,746.56/9,268.94
  6. Step 6: Final answer
    x = 5,138.10

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Why These Related Problems?

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