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Finding the Fourth Proportional to 9,466.08, 14,201.21 and 2,892.78

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Solution

The fourth proportional to 9,466.08, 14,201.21 and 2,892.78 is: 4,339.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466.08 : 14,201.21 = 2,892.78 : x
  2. Step 2: Convert to fraction form
    9,466.08/14,201.21 = 2,892.78/x
  3. Step 3: Cross multiply
    9,466.08x = 14,201.21 × 2,892.78
  4. Step 4: Simplify right side
    9,466.08x = 41,080,967.22
  5. Step 5: Solve for x
    x = 41,080,967.22/9,466.08
  6. Step 6: Final answer
    x = 4,339.81

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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.