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Finding the Fourth Proportional to 9,677.62, 13,354.29 and 6,538.06

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Solution

The fourth proportional to 9,677.62, 13,354.29 and 6,538.06 is: 9,021.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.62 : 13,354.29 = 6,538.06 : x
  2. Step 2: Convert to fraction form
    9,677.62/13,354.29 = 6,538.06/x
  3. Step 3: Cross multiply
    9,677.62x = 13,354.29 × 6,538.06
  4. Step 4: Simplify right side
    9,677.62x = 87,311,149.28
  5. Step 5: Solve for x
    x = 87,311,149.28/9,677.62
  6. Step 6: Final answer
    x = 9,021.97

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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.