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Finding the Fourth Proportional to 6,537.72, 9,807.96 and 2,155.62

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Solution

The fourth proportional to 6,537.72, 9,807.96 and 2,155.62 is: 3,233.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.72 : 9,807.96 = 2,155.62 : x
  2. Step 2: Convert to fraction form
    6,537.72/9,807.96 = 2,155.62/x
  3. Step 3: Cross multiply
    6,537.72x = 9,807.96 × 2,155.62
  4. Step 4: Simplify right side
    6,537.72x = 21,142,234.74
  5. Step 5: Solve for x
    x = 21,142,234.74/6,537.72
  6. Step 6: Final answer
    x = 3,233.89

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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.