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Finding the Fourth Proportional to 9,933.96, 14,900.94 and 6,033

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Solution

The fourth proportional to 9,933.96, 14,900.94 and 6,033 is: 9,049.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,933.96 : 14,900.94 = 6,033 : x
  2. Step 2: Convert to fraction form
    9,933.96/14,900.94 = 6,033/x
  3. Step 3: Cross multiply
    9,933.96x = 14,900.94 × 6,033
  4. Step 4: Simplify right side
    9,933.96x = 89,897,371.02
  5. Step 5: Solve for x
    x = 89,897,371.02/9,933.96
  6. Step 6: Final answer
    x = 9,049.50

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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.