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Finding the Fourth Proportional to 9,651.97, 14,480.08 and 5,493.93

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Solution

The fourth proportional to 9,651.97, 14,480.08 and 5,493.93 is: 8,242.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.97 : 14,480.08 = 5,493.93 : x
  2. Step 2: Convert to fraction form
    9,651.97/14,480.08 = 5,493.93/x
  3. Step 3: Cross multiply
    9,651.97x = 14,480.08 × 5,493.93
  4. Step 4: Simplify right side
    9,651.97x = 79,552,518.44
  5. Step 5: Solve for x
    x = 79,552,518.44/9,651.97
  6. Step 6: Final answer
    x = 8,242.11

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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.