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Finding the Fourth Proportional to 9,354.44, 14,034.39 and 3,511.50

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Solution

The fourth proportional to 9,354.44, 14,034.39 and 3,511.50 is: 5,268.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.44 : 14,034.39 = 3,511.50 : x
  2. Step 2: Convert to fraction form
    9,354.44/14,034.39 = 3,511.50/x
  3. Step 3: Cross multiply
    9,354.44x = 14,034.39 × 3,511.50
  4. Step 4: Simplify right side
    9,354.44x = 49,281,760.49
  5. Step 5: Solve for x
    x = 49,281,760.49/9,354.44
  6. Step 6: Final answer
    x = 5,268.28

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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.