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Finding the Fourth Proportional to 9,676.49, 14,492.79 and 7,926.89

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Solution

The fourth proportional to 9,676.49, 14,492.79 and 7,926.89 is: 11,872.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.49 : 14,492.79 = 7,926.89 : x
  2. Step 2: Convert to fraction form
    9,676.49/14,492.79 = 7,926.89/x
  3. Step 3: Cross multiply
    9,676.49x = 14,492.79 × 7,926.89
  4. Step 4: Simplify right side
    9,676.49x = 114,882,679.66
  5. Step 5: Solve for x
    x = 114,882,679.66/9,676.49
  6. Step 6: Final answer
    x = 11,872.36

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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.