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Finding the Fourth Proportional to 9,676.21, 14,514.23 and 2,656.19

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Solution

The fourth proportional to 9,676.21, 14,514.23 and 2,656.19 is: 3,984.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.21 : 14,514.23 = 2,656.19 : x
  2. Step 2: Convert to fraction form
    9,676.21/14,514.23 = 2,656.19/x
  3. Step 3: Cross multiply
    9,676.21x = 14,514.23 × 2,656.19
  4. Step 4: Simplify right side
    9,676.21x = 38,552,593.64
  5. Step 5: Solve for x
    x = 38,552,593.64/9,676.21
  6. Step 6: Final answer
    x = 3,984.27

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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.