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Finding the Fourth Proportional to 9,804.62, 14,707.56 and 3,961.28

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Solution

The fourth proportional to 9,804.62, 14,707.56 and 3,961.28 is: 5,942.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.62 : 14,707.56 = 3,961.28 : x
  2. Step 2: Convert to fraction form
    9,804.62/14,707.56 = 3,961.28/x
  3. Step 3: Cross multiply
    9,804.62x = 14,707.56 × 3,961.28
  4. Step 4: Simplify right side
    9,804.62x = 58,260,763.28
  5. Step 5: Solve for x
    x = 58,260,763.28/9,804.62
  6. Step 6: Final answer
    x = 5,942.17

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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.