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Finding the Fourth Proportional to 9,676.29, 13,354.80 and 5,429.07

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Solution

The fourth proportional to 9,676.29, 13,354.80 and 5,429.07 is: 7,492.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.29 : 13,354.80 = 5,429.07 : x
  2. Step 2: Convert to fraction form
    9,676.29/13,354.80 = 5,429.07/x
  3. Step 3: Cross multiply
    9,676.29x = 13,354.80 × 5,429.07
  4. Step 4: Simplify right side
    9,676.29x = 72,504,144.04
  5. Step 5: Solve for x
    x = 72,504,144.04/9,676.29
  6. Step 6: Final answer
    x = 7,492.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.