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Finding the Fourth Proportional to 9,466.16, 14,199.24 and 2,540.84

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Solution

The fourth proportional to 9,466.16, 14,199.24 and 2,540.84 is: 3,811.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466.16 : 14,199.24 = 2,540.84 : x
  2. Step 2: Convert to fraction form
    9,466.16/14,199.24 = 2,540.84/x
  3. Step 3: Cross multiply
    9,466.16x = 14,199.24 × 2,540.84
  4. Step 4: Simplify right side
    9,466.16x = 36,077,996.96
  5. Step 5: Solve for x
    x = 36,077,996.96/9,466.16
  6. Step 6: Final answer
    x = 3,811.26

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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.