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Finding the Fourth Proportional to 9,676.46, 14,514.71 and 2,750.96

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Solution

The fourth proportional to 9,676.46, 14,514.71 and 2,750.96 is: 4,126.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.46 : 14,514.71 = 2,750.96 : x
  2. Step 2: Convert to fraction form
    9,676.46/14,514.71 = 2,750.96/x
  3. Step 3: Cross multiply
    9,676.46x = 14,514.71 × 2,750.96
  4. Step 4: Simplify right side
    9,676.46x = 39,929,300.29
  5. Step 5: Solve for x
    x = 39,929,300.29/9,676.46
  6. Step 6: Final answer
    x = 4,126.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.