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Finding the Fourth Proportional to 9,790.88, 14,661.06 and 6,493.64

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Solution

The fourth proportional to 9,790.88, 14,661.06 and 6,493.64 is: 9,723.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.88 : 14,661.06 = 6,493.64 : x
  2. Step 2: Convert to fraction form
    9,790.88/14,661.06 = 6,493.64/x
  3. Step 3: Cross multiply
    9,790.88x = 14,661.06 × 6,493.64
  4. Step 4: Simplify right side
    9,790.88x = 95,203,645.66
  5. Step 5: Solve for x
    x = 95,203,645.66/9,790.88
  6. Step 6: Final answer
    x = 9,723.71

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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.