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Finding the Fourth Proportional to 6,340.63, 9,505.79 and 2,645.62

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Solution

The fourth proportional to 6,340.63, 9,505.79 and 2,645.62 is: 3,966.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.63 : 9,505.79 = 2,645.62 : x
  2. Step 2: Convert to fraction form
    6,340.63/9,505.79 = 2,645.62/x
  3. Step 3: Cross multiply
    6,340.63x = 9,505.79 × 2,645.62
  4. Step 4: Simplify right side
    6,340.63x = 25,148,667.22
  5. Step 5: Solve for x
    x = 25,148,667.22/6,340.63
  6. Step 6: Final answer
    x = 3,966.27

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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.