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Finding the Fourth Proportional to 9,500.63, 14,244.80 and 5,121.23

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Solution

The fourth proportional to 9,500.63, 14,244.80 and 5,121.23 is: 7,678.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.63 : 14,244.80 = 5,121.23 : x
  2. Step 2: Convert to fraction form
    9,500.63/14,244.80 = 5,121.23/x
  3. Step 3: Cross multiply
    9,500.63x = 14,244.80 × 5,121.23
  4. Step 4: Simplify right side
    9,500.63x = 72,950,800.27
  5. Step 5: Solve for x
    x = 72,950,800.27/9,500.63
  6. Step 6: Final answer
    x = 7,678.53

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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.