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Finding the Fourth Proportional to 6,542.01, 9,795.60 and 5,219.58

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Solution

The fourth proportional to 6,542.01, 9,795.60 and 5,219.58 is: 7,815.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.01 : 9,795.60 = 5,219.58 : x
  2. Step 2: Convert to fraction form
    6,542.01/9,795.60 = 5,219.58/x
  3. Step 3: Cross multiply
    6,542.01x = 9,795.60 × 5,219.58
  4. Step 4: Simplify right side
    6,542.01x = 51,128,917.85
  5. Step 5: Solve for x
    x = 51,128,917.85/6,542.01
  6. Step 6: Final answer
    x = 7,815.48

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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.