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Finding the Fourth Proportional to 36,262.20, 54,394.64 and 9,969

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Solution

The fourth proportional to 36,262.20, 54,394.64 and 9,969 is: 14,953.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,262.20 : 54,394.64 = 9,969 : x
  2. Step 2: Convert to fraction form
    36,262.20/54,394.64 = 9,969/x
  3. Step 3: Cross multiply
    36,262.20x = 54,394.64 × 9,969
  4. Step 4: Simplify right side
    36,262.20x = 542,260,166.16
  5. Step 5: Solve for x
    x = 542,260,166.16/36,262.20
  6. Step 6: Final answer
    x = 14,953.87

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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.