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Finding the Fourth Proportional to 9,676.54, 14,490.19 and 6,379.63

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Solution

The fourth proportional to 9,676.54, 14,490.19 and 6,379.63 is: 9,553.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.54 : 14,490.19 = 6,379.63 : x
  2. Step 2: Convert to fraction form
    9,676.54/14,490.19 = 6,379.63/x
  3. Step 3: Cross multiply
    9,676.54x = 14,490.19 × 6,379.63
  4. Step 4: Simplify right side
    9,676.54x = 92,442,050.83
  5. Step 5: Solve for x
    x = 92,442,050.83/9,676.54
  6. Step 6: Final answer
    x = 9,553.21

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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.