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Finding the Fourth Proportional to 6,455.09, 9,679.70 and 2,295.03

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Solution

The fourth proportional to 6,455.09, 9,679.70 and 2,295.03 is: 3,441.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.09 : 9,679.70 = 2,295.03 : x
  2. Step 2: Convert to fraction form
    6,455.09/9,679.70 = 2,295.03/x
  3. Step 3: Cross multiply
    6,455.09x = 9,679.70 × 2,295.03
  4. Step 4: Simplify right side
    6,455.09x = 22,215,243.93
  5. Step 5: Solve for x
    x = 22,215,243.93/6,455.09
  6. Step 6: Final answer
    x = 3,441.51

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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.