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Finding the Fourth Proportional to 9,676.82, 13,354.53 and 5,429.22

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Solution

The fourth proportional to 9,676.82, 13,354.53 and 5,429.22 is: 7,492.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.82 : 13,354.53 = 5,429.22 : x
  2. Step 2: Convert to fraction form
    9,676.82/13,354.53 = 5,429.22/x
  3. Step 3: Cross multiply
    9,676.82x = 13,354.53 × 5,429.22
  4. Step 4: Simplify right side
    9,676.82x = 72,504,681.37
  5. Step 5: Solve for x
    x = 72,504,681.37/9,676.82
  6. Step 6: Final answer
    x = 7,492.62

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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.