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Finding the Fourth Proportional to 9,959.85, 14,941.14 and 3,384.27

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Solution

The fourth proportional to 9,959.85, 14,941.14 and 3,384.27 is: 5,076.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,959.85 : 14,941.14 = 3,384.27 : x
  2. Step 2: Convert to fraction form
    9,959.85/14,941.14 = 3,384.27/x
  3. Step 3: Cross multiply
    9,959.85x = 14,941.14 × 3,384.27
  4. Step 4: Simplify right side
    9,959.85x = 50,564,851.87
  5. Step 5: Solve for x
    x = 50,564,851.87/9,959.85
  6. Step 6: Final answer
    x = 5,076.87

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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.