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Finding the Fourth Proportional to 9,251.60, 13,868.44 and 3,406.64

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Solution

The fourth proportional to 9,251.60, 13,868.44 and 3,406.64 is: 5,106.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251.60 : 13,868.44 = 3,406.64 : x
  2. Step 2: Convert to fraction form
    9,251.60/13,868.44 = 3,406.64/x
  3. Step 3: Cross multiply
    9,251.60x = 13,868.44 × 3,406.64
  4. Step 4: Simplify right side
    9,251.60x = 47,244,782.44
  5. Step 5: Solve for x
    x = 47,244,782.44/9,251.60
  6. Step 6: Final answer
    x = 5,106.66

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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.