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Finding the Fourth Proportional to 9,800.82, 14,701.23 and 3,956.06

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Solution

The fourth proportional to 9,800.82, 14,701.23 and 3,956.06 is: 5,934.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.82 : 14,701.23 = 3,956.06 : x
  2. Step 2: Convert to fraction form
    9,800.82/14,701.23 = 3,956.06/x
  3. Step 3: Cross multiply
    9,800.82x = 14,701.23 × 3,956.06
  4. Step 4: Simplify right side
    9,800.82x = 58,158,984.71
  5. Step 5: Solve for x
    x = 58,158,984.71/9,800.82
  6. Step 6: Final answer
    x = 5,934.09

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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.