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Finding the Fourth Proportional to 6,360.46, 9,540.42 and 2,464.63

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Solution

The fourth proportional to 6,360.46, 9,540.42 and 2,464.63 is: 3,696.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,360.46 : 9,540.42 = 2,464.63 : x
  2. Step 2: Convert to fraction form
    6,360.46/9,540.42 = 2,464.63/x
  3. Step 3: Cross multiply
    6,360.46x = 9,540.42 × 2,464.63
  4. Step 4: Simplify right side
    6,360.46x = 23,513,605.34
  5. Step 5: Solve for x
    x = 23,513,605.34/6,360.46
  6. Step 6: Final answer
    x = 3,696.84

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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.