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Finding the Fourth Proportional to 9,757.60, 14,635.36 and 3,912.64

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Solution

The fourth proportional to 9,757.60, 14,635.36 and 3,912.64 is: 5,868.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.60 : 14,635.36 = 3,912.64 : x
  2. Step 2: Convert to fraction form
    9,757.60/14,635.36 = 3,912.64/x
  3. Step 3: Cross multiply
    9,757.60x = 14,635.36 × 3,912.64
  4. Step 4: Simplify right side
    9,757.60x = 57,262,894.95
  5. Step 5: Solve for x
    x = 57,262,894.95/9,757.60
  6. Step 6: Final answer
    x = 5,868.54

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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.