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Finding the Fourth Proportional to 6,449.65, 9,675.33 and 2,553.14

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Solution

The fourth proportional to 6,449.65, 9,675.33 and 2,553.14 is: 3,830.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.65 : 9,675.33 = 2,553.14 : x
  2. Step 2: Convert to fraction form
    6,449.65/9,675.33 = 2,553.14/x
  3. Step 3: Cross multiply
    6,449.65x = 9,675.33 × 2,553.14
  4. Step 4: Simplify right side
    6,449.65x = 24,702,501.01
  5. Step 5: Solve for x
    x = 24,702,501.01/6,449.65
  6. Step 6: Final answer
    x = 3,830.05

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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.