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Finding the Fourth Proportional to 6,362.46, 9,543.42 and 2,466.63

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Solution

The fourth proportional to 6,362.46, 9,543.42 and 2,466.63 is: 3,699.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,362.46 : 9,543.42 = 2,466.63 : x
  2. Step 2: Convert to fraction form
    6,362.46/9,543.42 = 2,466.63/x
  3. Step 3: Cross multiply
    6,362.46x = 9,543.42 × 2,466.63
  4. Step 4: Simplify right side
    6,362.46x = 23,540,086.07
  5. Step 5: Solve for x
    x = 23,540,086.07/6,362.46
  6. Step 6: Final answer
    x = 3,699.84

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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.