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Finding the Fourth Proportional to 6,419.28, 9,636.18 and 4,312.44

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Solution

The fourth proportional to 6,419.28, 9,636.18 and 4,312.44 is: 6,473.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.28 : 9,636.18 = 4,312.44 : x
  2. Step 2: Convert to fraction form
    6,419.28/9,636.18 = 4,312.44/x
  3. Step 3: Cross multiply
    6,419.28x = 9,636.18 × 4,312.44
  4. Step 4: Simplify right side
    6,419.28x = 41,555,448.08
  5. Step 5: Solve for x
    x = 41,555,448.08/6,419.28
  6. Step 6: Final answer
    x = 6,473.54

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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.