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Finding the Fourth Proportional to 5,945.09, 8,193.16 and 4,876.63

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Solution

The fourth proportional to 5,945.09, 8,193.16 and 4,876.63 is: 6,720.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.09 : 8,193.16 = 4,876.63 : x
  2. Step 2: Convert to fraction form
    5,945.09/8,193.16 = 4,876.63/x
  3. Step 3: Cross multiply
    5,945.09x = 8,193.16 × 4,876.63
  4. Step 4: Simplify right side
    5,945.09x = 39,955,033.23
  5. Step 5: Solve for x
    x = 39,955,033.23/5,945.09
  6. Step 6: Final answer
    x = 6,720.67

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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.