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Finding the Fourth Proportional to 9,500.63, 14,251.14 and 3,260.61

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Solution

The fourth proportional to 9,500.63, 14,251.14 and 3,260.61 is: 4,890.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.63 : 14,251.14 = 3,260.61 : x
  2. Step 2: Convert to fraction form
    9,500.63/14,251.14 = 3,260.61/x
  3. Step 3: Cross multiply
    9,500.63x = 14,251.14 × 3,260.61
  4. Step 4: Simplify right side
    9,500.63x = 46,467,409.60
  5. Step 5: Solve for x
    x = 46,467,409.60/9,500.63
  6. Step 6: Final answer
    x = 4,890.98

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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.