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Finding the Fourth Proportional to 9,511.95, 14,269.72 and 2,936.60

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Solution

The fourth proportional to 9,511.95, 14,269.72 and 2,936.60 is: 4,405.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,511.95 : 14,269.72 = 2,936.60 : x
  2. Step 2: Convert to fraction form
    9,511.95/14,269.72 = 2,936.60/x
  3. Step 3: Cross multiply
    9,511.95x = 14,269.72 × 2,936.60
  4. Step 4: Simplify right side
    9,511.95x = 41,904,459.75
  5. Step 5: Solve for x
    x = 41,904,459.75/9,511.95
  6. Step 6: Final answer
    x = 4,405.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.