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Finding the Fourth Proportional to 6,455.92, 9,681.76 and 2,072.34

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Solution

The fourth proportional to 6,455.92, 9,681.76 and 2,072.34 is: 3,107.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.92 : 9,681.76 = 2,072.34 : x
  2. Step 2: Convert to fraction form
    6,455.92/9,681.76 = 2,072.34/x
  3. Step 3: Cross multiply
    6,455.92x = 9,681.76 × 2,072.34
  4. Step 4: Simplify right side
    6,455.92x = 20,063,898.52
  5. Step 5: Solve for x
    x = 20,063,898.52/6,455.92
  6. Step 6: Final answer
    x = 3,107.83

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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.