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Finding the Fourth Proportional to 9,959.97, 14,941.33 and 3,384.39

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Solution

The fourth proportional to 9,959.97, 14,941.33 and 3,384.39 is: 5,077.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,959.97 : 14,941.33 = 3,384.39 : x
  2. Step 2: Convert to fraction form
    9,959.97/14,941.33 = 3,384.39/x
  3. Step 3: Cross multiply
    9,959.97x = 14,941.33 × 3,384.39
  4. Step 4: Simplify right side
    9,959.97x = 50,567,287.84
  5. Step 5: Solve for x
    x = 50,567,287.84/9,959.97
  6. Step 6: Final answer
    x = 5,077.05

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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.