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Finding the Fourth Proportional to 9,825.91, 14,732.69 and 3,250.33

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Solution

The fourth proportional to 9,825.91, 14,732.69 and 3,250.33 is: 4,873.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.91 : 14,732.69 = 3,250.33 : x
  2. Step 2: Convert to fraction form
    9,825.91/14,732.69 = 3,250.33/x
  3. Step 3: Cross multiply
    9,825.91x = 14,732.69 × 3,250.33
  4. Step 4: Simplify right side
    9,825.91x = 47,886,051.20
  5. Step 5: Solve for x
    x = 47,886,051.20/9,825.91
  6. Step 6: Final answer
    x = 4,873.45

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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.