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Finding the Fourth Proportional to 6,384.81, 9,577.32 and 2,489.32

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Solution

The fourth proportional to 6,384.81, 9,577.32 and 2,489.32 is: 3,734.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.81 : 9,577.32 = 2,489.32 : x
  2. Step 2: Convert to fraction form
    6,384.81/9,577.32 = 2,489.32/x
  3. Step 3: Cross multiply
    6,384.81x = 9,577.32 × 2,489.32
  4. Step 4: Simplify right side
    6,384.81x = 23,841,014.22
  5. Step 5: Solve for x
    x = 23,841,014.22/6,384.81
  6. Step 6: Final answer
    x = 3,734.02

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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.