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Finding the Fourth Proportional to 6,519.72, 9,783.26 and 4,329.64

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Solution

The fourth proportional to 6,519.72, 9,783.26 and 4,329.64 is: 6,496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519.72 : 9,783.26 = 4,329.64 : x
  2. Step 2: Convert to fraction form
    6,519.72/9,783.26 = 4,329.64/x
  3. Step 3: Cross multiply
    6,519.72x = 9,783.26 × 4,329.64
  4. Step 4: Simplify right side
    6,519.72x = 42,357,993.83
  5. Step 5: Solve for x
    x = 42,357,993.83/6,519.72
  6. Step 6: Final answer
    x = 6,496.90

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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.