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Finding the Fourth Proportional to 6,393.54, 9,591.68 and 2,011.34

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Solution

The fourth proportional to 6,393.54, 9,591.68 and 2,011.34 is: 3,017.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.54 : 9,591.68 = 2,011.34 : x
  2. Step 2: Convert to fraction form
    6,393.54/9,591.68 = 2,011.34/x
  3. Step 3: Cross multiply
    6,393.54x = 9,591.68 × 2,011.34
  4. Step 4: Simplify right side
    6,393.54x = 19,292,129.65
  5. Step 5: Solve for x
    x = 19,292,129.65/6,393.54
  6. Step 6: Final answer
    x = 3,017.44

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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.