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Finding the Fourth Proportional to 9,954.76, 14,935.73 and 5,020.68

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Solution

The fourth proportional to 9,954.76, 14,935.73 and 5,020.68 is: 7,532.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.76 : 14,935.73 = 5,020.68 : x
  2. Step 2: Convert to fraction form
    9,954.76/14,935.73 = 5,020.68/x
  3. Step 3: Cross multiply
    9,954.76x = 14,935.73 × 5,020.68
  4. Step 4: Simplify right side
    9,954.76x = 74,987,520.90
  5. Step 5: Solve for x
    x = 74,987,520.90/9,954.76
  6. Step 6: Final answer
    x = 7,532.83

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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.