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Finding the Fourth Proportional to 6,519.42, 9,780.21 and 3,232.62

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Solution

The fourth proportional to 6,519.42, 9,780.21 and 3,232.62 is: 4,849.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519.42 : 9,780.21 = 3,232.62 : x
  2. Step 2: Convert to fraction form
    6,519.42/9,780.21 = 3,232.62/x
  3. Step 3: Cross multiply
    6,519.42x = 9,780.21 × 3,232.62
  4. Step 4: Simplify right side
    6,519.42x = 31,615,702.45
  5. Step 5: Solve for x
    x = 31,615,702.45/6,519.42
  6. Step 6: Final answer
    x = 4,849.47

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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.