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Finding the Fourth Proportional to 9,676.76, 14,514.36 and 3,101.18

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Solution

The fourth proportional to 9,676.76, 14,514.36 and 3,101.18 is: 4,651.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.76 : 14,514.36 = 3,101.18 : x
  2. Step 2: Convert to fraction form
    9,676.76/14,514.36 = 3,101.18/x
  3. Step 3: Cross multiply
    9,676.76x = 14,514.36 × 3,101.18
  4. Step 4: Simplify right side
    9,676.76x = 45,011,642.94
  5. Step 5: Solve for x
    x = 45,011,642.94/9,676.76
  6. Step 6: Final answer
    x = 4,651.52

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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.