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Finding the Fourth Proportional to 6,403.67, 9,605.51 and 2,021.57

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Solution

The fourth proportional to 6,403.67, 9,605.51 and 2,021.57 is: 3,032.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.67 : 9,605.51 = 2,021.57 : x
  2. Step 2: Convert to fraction form
    6,403.67/9,605.51 = 2,021.57/x
  3. Step 3: Cross multiply
    6,403.67x = 9,605.51 × 2,021.57
  4. Step 4: Simplify right side
    6,403.67x = 19,418,210.85
  5. Step 5: Solve for x
    x = 19,418,210.85/6,403.67
  6. Step 6: Final answer
    x = 3,032.36

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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.