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Finding the Fourth Proportional to 9,538.32, 13,163.00 and 5,289.47

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Solution

The fourth proportional to 9,538.32, 13,163.00 and 5,289.47 is: 7,299.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.32 : 13,163.00 = 5,289.47 : x
  2. Step 2: Convert to fraction form
    9,538.32/13,163.00 = 5,289.47/x
  3. Step 3: Cross multiply
    9,538.32x = 13,163.00 × 5,289.47
  4. Step 4: Simplify right side
    9,538.32x = 69,625,201.35
  5. Step 5: Solve for x
    x = 69,625,201.35/9,538.32
  6. Step 6: Final answer
    x = 7,299.52

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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.