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Finding the Fourth Proportional to 9,833.49, 14,689.46 and 8,844.74

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Solution

The fourth proportional to 9,833.49, 14,689.46 and 8,844.74 is: 13,212.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.49 : 14,689.46 = 8,844.74 : x
  2. Step 2: Convert to fraction form
    9,833.49/14,689.46 = 8,844.74/x
  3. Step 3: Cross multiply
    9,833.49x = 14,689.46 × 8,844.74
  4. Step 4: Simplify right side
    9,833.49x = 129,924,336.77
  5. Step 5: Solve for x
    x = 129,924,336.77/9,833.49
  6. Step 6: Final answer
    x = 13,212.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.