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Finding the Fourth Proportional to 9,798.81, 14,696.84 and 3,954.05

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Solution

The fourth proportional to 9,798.81, 14,696.84 and 3,954.05 is: 5,930.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.81 : 14,696.84 = 3,954.05 : x
  2. Step 2: Convert to fraction form
    9,798.81/14,696.84 = 3,954.05/x
  3. Step 3: Cross multiply
    9,798.81x = 14,696.84 × 3,954.05
  4. Step 4: Simplify right side
    9,798.81x = 58,111,946.95
  5. Step 5: Solve for x
    x = 58,111,946.95/9,798.81
  6. Step 6: Final answer
    x = 5,930.51

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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.