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Finding the Fourth Proportional to 6,506.37, 9,761.40 and 2,613.51

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Solution

The fourth proportional to 6,506.37, 9,761.40 and 2,613.51 is: 3,921.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.37 : 9,761.40 = 2,613.51 : x
  2. Step 2: Convert to fraction form
    6,506.37/9,761.40 = 2,613.51/x
  3. Step 3: Cross multiply
    6,506.37x = 9,761.40 × 2,613.51
  4. Step 4: Simplify right side
    6,506.37x = 25,511,516.51
  5. Step 5: Solve for x
    x = 25,511,516.51/6,506.37
  6. Step 6: Final answer
    x = 3,921.01

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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.