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Finding the Fourth Proportional to 9,799.69, 14,696.43 and 3,224.35

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Solution

The fourth proportional to 9,799.69, 14,696.43 and 3,224.35 is: 4,835.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.69 : 14,696.43 = 3,224.35 : x
  2. Step 2: Convert to fraction form
    9,799.69/14,696.43 = 3,224.35/x
  3. Step 3: Cross multiply
    9,799.69x = 14,696.43 × 3,224.35
  4. Step 4: Simplify right side
    9,799.69x = 47,386,434.07
  5. Step 5: Solve for x
    x = 47,386,434.07/9,799.69
  6. Step 6: Final answer
    x = 4,835.50

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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.