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Finding the Fourth Proportional to 9,194.30, 13,784.70 and 3,644.90

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Solution

The fourth proportional to 9,194.30, 13,784.70 and 3,644.90 is: 5,464.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.30 : 13,784.70 = 3,644.90 : x
  2. Step 2: Convert to fraction form
    9,194.30/13,784.70 = 3,644.90/x
  3. Step 3: Cross multiply
    9,194.30x = 13,784.70 × 3,644.90
  4. Step 4: Simplify right side
    9,194.30x = 50,243,853.03
  5. Step 5: Solve for x
    x = 50,243,853.03/9,194.30
  6. Step 6: Final answer
    x = 5,464.67

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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.