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Finding the Fourth Proportional to 6,255.36, 9,382.32 and 1,638.72

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Solution

The fourth proportional to 6,255.36, 9,382.32 and 1,638.72 is: 2,457.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,255.36 : 9,382.32 = 1,638.72 : x
  2. Step 2: Convert to fraction form
    6,255.36/9,382.32 = 1,638.72/x
  3. Step 3: Cross multiply
    6,255.36x = 9,382.32 × 1,638.72
  4. Step 4: Simplify right side
    6,255.36x = 15,374,995.43
  5. Step 5: Solve for x
    x = 15,374,995.43/6,255.36
  6. Step 6: Final answer
    x = 2,457.89

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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.