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Finding the Fourth Proportional to 9,466.14, 14,201.64 and 2,892.18

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Solution

The fourth proportional to 9,466.14, 14,201.64 and 2,892.18 is: 4,339.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466.14 : 14,201.64 = 2,892.18 : x
  2. Step 2: Convert to fraction form
    9,466.14/14,201.64 = 2,892.18/x
  3. Step 3: Cross multiply
    9,466.14x = 14,201.64 × 2,892.18
  4. Step 4: Simplify right side
    9,466.14x = 41,073,699.18
  5. Step 5: Solve for x
    x = 41,073,699.18/9,466.14
  6. Step 6: Final answer
    x = 4,339.01

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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.