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Finding the Fourth Proportional to 9,802.62, 14,704.56 and 3,959.28

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Solution

The fourth proportional to 9,802.62, 14,704.56 and 3,959.28 is: 5,939.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.62 : 14,704.56 = 3,959.28 : x
  2. Step 2: Convert to fraction form
    9,802.62/14,704.56 = 3,959.28/x
  3. Step 3: Cross multiply
    9,802.62x = 14,704.56 × 3,959.28
  4. Step 4: Simplify right side
    9,802.62x = 58,219,470.32
  5. Step 5: Solve for x
    x = 58,219,470.32/9,802.62
  6. Step 6: Final answer
    x = 5,939.17

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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.