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Finding the Fourth Proportional to 6,455.45, 9,658.74 and 3,824.37

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Solution

The fourth proportional to 6,455.45, 9,658.74 and 3,824.37 is: 5,722.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.45 : 9,658.74 = 3,824.37 : x
  2. Step 2: Convert to fraction form
    6,455.45/9,658.74 = 3,824.37/x
  3. Step 3: Cross multiply
    6,455.45x = 9,658.74 × 3,824.37
  4. Step 4: Simplify right side
    6,455.45x = 36,938,528.08
  5. Step 5: Solve for x
    x = 36,938,528.08/6,455.45
  6. Step 6: Final answer
    x = 5,722.07

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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.