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Finding the Fourth Proportional to 9,349.50, 14,026.48 and 3,193.50

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Solution

The fourth proportional to 9,349.50, 14,026.48 and 3,193.50 is: 4,791.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.50 : 14,026.48 = 3,193.50 : x
  2. Step 2: Convert to fraction form
    9,349.50/14,026.48 = 3,193.50/x
  3. Step 3: Cross multiply
    9,349.50x = 14,026.48 × 3,193.50
  4. Step 4: Simplify right side
    9,349.50x = 44,793,563.88
  5. Step 5: Solve for x
    x = 44,793,563.88/9,349.50
  6. Step 6: Final answer
    x = 4,791.01

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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.