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Finding the Fourth Proportional to 6,429.45, 9,644.18 and 2,533.75

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Solution

The fourth proportional to 6,429.45, 9,644.18 and 2,533.75 is: 3,800.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.45 : 9,644.18 = 2,533.75 : x
  2. Step 2: Convert to fraction form
    6,429.45/9,644.18 = 2,533.75/x
  3. Step 3: Cross multiply
    6,429.45x = 9,644.18 × 2,533.75
  4. Step 4: Simplify right side
    6,429.45x = 24,435,941.08
  5. Step 5: Solve for x
    x = 24,435,941.08/6,429.45
  6. Step 6: Final answer
    x = 3,800.63

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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.