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Finding the Fourth Proportional to 6,482.67, 9,726.32 and 2,266.54

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Solution

The fourth proportional to 6,482.67, 9,726.32 and 2,266.54 is: 3,400.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.67 : 9,726.32 = 2,266.54 : x
  2. Step 2: Convert to fraction form
    6,482.67/9,726.32 = 2,266.54/x
  3. Step 3: Cross multiply
    6,482.67x = 9,726.32 × 2,266.54
  4. Step 4: Simplify right side
    6,482.67x = 22,045,074.68
  5. Step 5: Solve for x
    x = 22,045,074.68/6,482.67
  6. Step 6: Final answer
    x = 3,400.62

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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.