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Finding the Fourth Proportional to 6,341.86, 9,513.21 and 1,661.99

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Solution

The fourth proportional to 6,341.86, 9,513.21 and 1,661.99 is: 2,493.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.86 : 9,513.21 = 1,661.99 : x
  2. Step 2: Convert to fraction form
    6,341.86/9,513.21 = 1,661.99/x
  3. Step 3: Cross multiply
    6,341.86x = 9,513.21 × 1,661.99
  4. Step 4: Simplify right side
    6,341.86x = 15,810,824.21
  5. Step 5: Solve for x
    x = 15,810,824.21/6,341.86
  6. Step 6: Final answer
    x = 2,493.09

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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.