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Finding the Fourth Proportional to 9,533.22, 14,299.26 and 5,662.26

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Solution

The fourth proportional to 9,533.22, 14,299.26 and 5,662.26 is: 8,493.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.22 : 14,299.26 = 5,662.26 : x
  2. Step 2: Convert to fraction form
    9,533.22/14,299.26 = 5,662.26/x
  3. Step 3: Cross multiply
    9,533.22x = 14,299.26 × 5,662.26
  4. Step 4: Simplify right side
    9,533.22x = 80,966,127.93
  5. Step 5: Solve for x
    x = 80,966,127.93/9,533.22
  6. Step 6: Final answer
    x = 8,493.05

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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.