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Finding the Fourth Proportional to 9,933, 14,899.46 and 7,743.35

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Solution

The fourth proportional to 9,933, 14,899.46 and 7,743.35 is: 11,614.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,933 : 14,899.46 = 7,743.35 : x
  2. Step 2: Convert to fraction form
    9,933/14,899.46 = 7,743.35/x
  3. Step 3: Cross multiply
    9,933x = 14,899.46 × 7,743.35
  4. Step 4: Simplify right side
    9,933x = 115,371,620.38
  5. Step 5: Solve for x
    x = 115,371,620.38/9,933
  6. Step 6: Final answer
    x = 11,614.98

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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.