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Finding the Fourth Proportional to 9,353.64, 14,027.50 and 3,112.28

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Solution

The fourth proportional to 9,353.64, 14,027.50 and 3,112.28 is: 4,667.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,353.64 : 14,027.50 = 3,112.28 : x
  2. Step 2: Convert to fraction form
    9,353.64/14,027.50 = 3,112.28/x
  3. Step 3: Cross multiply
    9,353.64x = 14,027.50 × 3,112.28
  4. Step 4: Simplify right side
    9,353.64x = 43,657,507.70
  5. Step 5: Solve for x
    x = 43,657,507.70/9,353.64
  6. Step 6: Final answer
    x = 4,667.44

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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.