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Finding the Fourth Proportional to 9,511.09, 14,255.70 and 6,003.70

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Solution

The fourth proportional to 9,511.09, 14,255.70 and 6,003.70 is: 8,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,511.09 : 14,255.70 = 6,003.70 : x
  2. Step 2: Convert to fraction form
    9,511.09/14,255.70 = 6,003.70/x
  3. Step 3: Cross multiply
    9,511.09x = 14,255.70 × 6,003.70
  4. Step 4: Simplify right side
    9,511.09x = 85,586,946.09
  5. Step 5: Solve for x
    x = 85,586,946.09/9,511.09
  6. Step 6: Final answer
    x = 8,998.65

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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.