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Finding the Fourth Proportional to 9,379.02, 12,942.54 and 5,187

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Solution

The fourth proportional to 9,379.02, 12,942.54 and 5,187 is: 7,157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,379.02 : 12,942.54 = 5,187 : x
  2. Step 2: Convert to fraction form
    9,379.02/12,942.54 = 5,187/x
  3. Step 3: Cross multiply
    9,379.02x = 12,942.54 × 5,187
  4. Step 4: Simplify right side
    9,379.02x = 67,132,954.98
  5. Step 5: Solve for x
    x = 67,132,954.98/9,379.02
  6. Step 6: Final answer
    x = 7,157.78

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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.