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Finding the Fourth Proportional to 9,676.80, 14,520 and 3,833.28

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Solution

The fourth proportional to 9,676.80, 14,520 and 3,833.28 is: 5,751.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.80 : 14,520 = 3,833.28 : x
  2. Step 2: Convert to fraction form
    9,676.80/14,520 = 3,833.28/x
  3. Step 3: Cross multiply
    9,676.80x = 14,520 × 3,833.28
  4. Step 4: Simplify right side
    9,676.80x = 55,659,225.60
  5. Step 5: Solve for x
    x = 55,659,225.60/9,676.80
  6. Step 6: Final answer
    x = 5,751.82

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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.