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Finding the Fourth Proportional to 9,190.64, 13,780.40 and 3,644.72

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Solution

The fourth proportional to 9,190.64, 13,780.40 and 3,644.72 is: 5,464.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.64 : 13,780.40 = 3,644.72 : x
  2. Step 2: Convert to fraction form
    9,190.64/13,780.40 = 3,644.72/x
  3. Step 3: Cross multiply
    9,190.64x = 13,780.40 × 3,644.72
  4. Step 4: Simplify right side
    9,190.64x = 50,225,699.49
  5. Step 5: Solve for x
    x = 50,225,699.49/9,190.64
  6. Step 6: Final answer
    x = 5,464.88

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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.