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Finding the Fourth Proportional to 9,802.71, 14,698.53 and 3,227.13

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Solution

The fourth proportional to 9,802.71, 14,698.53 and 3,227.13 is: 4,838.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.71 : 14,698.53 = 3,227.13 : x
  2. Step 2: Convert to fraction form
    9,802.71/14,698.53 = 3,227.13/x
  3. Step 3: Cross multiply
    9,802.71x = 14,698.53 × 3,227.13
  4. Step 4: Simplify right side
    9,802.71x = 47,434,067.12
  5. Step 5: Solve for x
    x = 47,434,067.12/9,802.71
  6. Step 6: Final answer
    x = 4,838.87

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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.