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Finding the Fourth Proportional to 6,780.01, 9,348.44 and 5,434.54

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Solution

The fourth proportional to 6,780.01, 9,348.44 and 5,434.54 is: 7,493.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.01 : 9,348.44 = 5,434.54 : x
  2. Step 2: Convert to fraction form
    6,780.01/9,348.44 = 5,434.54/x
  3. Step 3: Cross multiply
    6,780.01x = 9,348.44 × 5,434.54
  4. Step 4: Simplify right side
    6,780.01x = 50,804,440.95
  5. Step 5: Solve for x
    x = 50,804,440.95/6,780.01
  6. Step 6: Final answer
    x = 7,493.27

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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.