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Finding the Fourth Proportional to 9,525.69, 13,143.33 and 5,749.47

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Solution

The fourth proportional to 9,525.69, 13,143.33 and 5,749.47 is: 7,932.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,525.69 : 13,143.33 = 5,749.47 : x
  2. Step 2: Convert to fraction form
    9,525.69/13,143.33 = 5,749.47/x
  3. Step 3: Cross multiply
    9,525.69x = 13,143.33 × 5,749.47
  4. Step 4: Simplify right side
    9,525.69x = 75,567,181.54
  5. Step 5: Solve for x
    x = 75,567,181.54/9,525.69
  6. Step 6: Final answer
    x = 7,932.99

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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.