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Finding the Fourth Proportional to 6,461.54, 9,689.73 and 2,765.42

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Solution

The fourth proportional to 6,461.54, 9,689.73 and 2,765.42 is: 4,147.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.54 : 9,689.73 = 2,765.42 : x
  2. Step 2: Convert to fraction form
    6,461.54/9,689.73 = 2,765.42/x
  3. Step 3: Cross multiply
    6,461.54x = 9,689.73 × 2,765.42
  4. Step 4: Simplify right side
    6,461.54x = 26,796,173.14
  5. Step 5: Solve for x
    x = 26,796,173.14/6,461.54
  6. Step 6: Final answer
    x = 4,147.03

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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.