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Finding the Fourth Proportional to 9,676.64, 13,338.24 and 6,527.36

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Solution

The fourth proportional to 9,676.64, 13,338.24 and 6,527.36 is: 8,997.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.64 : 13,338.24 = 6,527.36 : x
  2. Step 2: Convert to fraction form
    9,676.64/13,338.24 = 6,527.36/x
  3. Step 3: Cross multiply
    9,676.64x = 13,338.24 × 6,527.36
  4. Step 4: Simplify right side
    9,676.64x = 87,063,494.25
  5. Step 5: Solve for x
    x = 87,063,494.25/9,676.64
  6. Step 6: Final answer
    x = 8,997.29

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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.