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Finding the Fourth Proportional to 9,368.10, 14,049.90 and 5,410.80

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Solution

The fourth proportional to 9,368.10, 14,049.90 and 5,410.80 is: 8,114.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,368.10 : 14,049.90 = 5,410.80 : x
  2. Step 2: Convert to fraction form
    9,368.10/14,049.90 = 5,410.80/x
  3. Step 3: Cross multiply
    9,368.10x = 14,049.90 × 5,410.80
  4. Step 4: Simplify right side
    9,368.10x = 76,021,198.92
  5. Step 5: Solve for x
    x = 76,021,198.92/9,368.10
  6. Step 6: Final answer
    x = 8,114.90

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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.