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Finding the Fourth Proportional to 6,428.60, 9,640.82 and 2,045.03

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Solution

The fourth proportional to 6,428.60, 9,640.82 and 2,045.03 is: 3,066.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.60 : 9,640.82 = 2,045.03 : x
  2. Step 2: Convert to fraction form
    6,428.60/9,640.82 = 2,045.03/x
  3. Step 3: Cross multiply
    6,428.60x = 9,640.82 × 2,045.03
  4. Step 4: Simplify right side
    6,428.60x = 19,715,777.26
  5. Step 5: Solve for x
    x = 19,715,777.26/6,428.60
  6. Step 6: Final answer
    x = 3,066.89

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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.