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Finding the Fourth Proportional to 6,532.20, 9,783.90 and 4,573.80

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Solution

The fourth proportional to 6,532.20, 9,783.90 and 4,573.80 is: 6,850.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.20 : 9,783.90 = 4,573.80 : x
  2. Step 2: Convert to fraction form
    6,532.20/9,783.90 = 4,573.80/x
  3. Step 3: Cross multiply
    6,532.20x = 9,783.90 × 4,573.80
  4. Step 4: Simplify right side
    6,532.20x = 44,749,601.82
  5. Step 5: Solve for x
    x = 44,749,601.82/6,532.20
  6. Step 6: Final answer
    x = 6,850.62

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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.