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Finding the Fourth Proportional to 6,572.76, 9,843.10 and 3,455.38

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Solution

The fourth proportional to 6,572.76, 9,843.10 and 3,455.38 is: 5,174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572.76 : 9,843.10 = 3,455.38 : x
  2. Step 2: Convert to fraction form
    6,572.76/9,843.10 = 3,455.38/x
  3. Step 3: Cross multiply
    6,572.76x = 9,843.10 × 3,455.38
  4. Step 4: Simplify right side
    6,572.76x = 34,011,650.88
  5. Step 5: Solve for x
    x = 34,011,650.88/6,572.76
  6. Step 6: Final answer
    x = 5,174.64

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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.