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Finding the Fourth Proportional to 6,425.53, 9,641.94 and 2,532.67

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Solution

The fourth proportional to 6,425.53, 9,641.94 and 2,532.67 is: 3,800.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.53 : 9,641.94 = 2,532.67 : x
  2. Step 2: Convert to fraction form
    6,425.53/9,641.94 = 2,532.67/x
  3. Step 3: Cross multiply
    6,425.53x = 9,641.94 × 2,532.67
  4. Step 4: Simplify right side
    6,425.53x = 24,419,852.18
  5. Step 5: Solve for x
    x = 24,419,852.18/6,425.53
  6. Step 6: Final answer
    x = 3,800.44

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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.