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Finding the Fourth Proportional to 6,461.36, 9,696.87 and 2,513.24

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Solution

The fourth proportional to 6,461.36, 9,696.87 and 2,513.24 is: 3,771.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.36 : 9,696.87 = 2,513.24 : x
  2. Step 2: Convert to fraction form
    6,461.36/9,696.87 = 2,513.24/x
  3. Step 3: Cross multiply
    6,461.36x = 9,696.87 × 2,513.24
  4. Step 4: Simplify right side
    6,461.36x = 24,370,561.56
  5. Step 5: Solve for x
    x = 24,370,561.56/6,461.36
  6. Step 6: Final answer
    x = 3,771.74

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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.