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Finding the Fourth Proportional to 9,464.34, 14,198.52 and 2,891

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Solution

The fourth proportional to 9,464.34, 14,198.52 and 2,891 is: 4,337.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.34 : 14,198.52 = 2,891 : x
  2. Step 2: Convert to fraction form
    9,464.34/14,198.52 = 2,891/x
  3. Step 3: Cross multiply
    9,464.34x = 14,198.52 × 2,891
  4. Step 4: Simplify right side
    9,464.34x = 41,047,921.32
  5. Step 5: Solve for x
    x = 41,047,921.32/9,464.34
  6. Step 6: Final answer
    x = 4,337.11

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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.