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Finding the Fourth Proportional to 9,576.14, 13,214.21 and 5,327.01

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Solution

The fourth proportional to 9,576.14, 13,214.21 and 5,327.01 is: 7,350.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576.14 : 13,214.21 = 5,327.01 : x
  2. Step 2: Convert to fraction form
    9,576.14/13,214.21 = 5,327.01/x
  3. Step 3: Cross multiply
    9,576.14x = 13,214.21 × 5,327.01
  4. Step 4: Simplify right side
    9,576.14x = 70,392,202.18
  5. Step 5: Solve for x
    x = 70,392,202.18/9,576.14
  6. Step 6: Final answer
    x = 7,350.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.