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Finding the Fourth Proportional to 6,489.09, 9,735.03 and 2,046.69

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Solution

The fourth proportional to 6,489.09, 9,735.03 and 2,046.69 is: 3,070.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.09 : 9,735.03 = 2,046.69 : x
  2. Step 2: Convert to fraction form
    6,489.09/9,735.03 = 2,046.69/x
  3. Step 3: Cross multiply
    6,489.09x = 9,735.03 × 2,046.69
  4. Step 4: Simplify right side
    6,489.09x = 19,924,588.55
  5. Step 5: Solve for x
    x = 19,924,588.55/6,489.09
  6. Step 6: Final answer
    x = 3,070.47

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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.