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Finding the Fourth Proportional to 6,379.10, 9,564.04 and 3,218.52

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Solution

The fourth proportional to 6,379.10, 9,564.04 and 3,218.52 is: 4,825.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,379.10 : 9,564.04 = 3,218.52 : x
  2. Step 2: Convert to fraction form
    6,379.10/9,564.04 = 3,218.52/x
  3. Step 3: Cross multiply
    6,379.10x = 9,564.04 × 3,218.52
  4. Step 4: Simplify right side
    6,379.10x = 30,782,054.02
  5. Step 5: Solve for x
    x = 30,782,054.02/6,379.10
  6. Step 6: Final answer
    x = 4,825.45

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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.