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Finding the Fourth Proportional to 9,802.91, 14,704.27 and 3,959.44

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Solution

The fourth proportional to 9,802.91, 14,704.27 and 3,959.44 is: 5,939.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.91 : 14,704.27 = 3,959.44 : x
  2. Step 2: Convert to fraction form
    9,802.91/14,704.27 = 3,959.44/x
  3. Step 3: Cross multiply
    9,802.91x = 14,704.27 × 3,959.44
  4. Step 4: Simplify right side
    9,802.91x = 58,220,674.81
  5. Step 5: Solve for x
    x = 58,220,674.81/9,802.91
  6. Step 6: Final answer
    x = 5,939.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.