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Finding the Fourth Proportional to 7,135.94, 9,847.64 and 3,992.13

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Solution

The fourth proportional to 7,135.94, 9,847.64 and 3,992.13 is: 5,509.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.94 : 9,847.64 = 3,992.13 : x
  2. Step 2: Convert to fraction form
    7,135.94/9,847.64 = 3,992.13/x
  3. Step 3: Cross multiply
    7,135.94x = 9,847.64 × 3,992.13
  4. Step 4: Simplify right side
    7,135.94x = 39,313,069.05
  5. Step 5: Solve for x
    x = 39,313,069.05/7,135.94
  6. Step 6: Final answer
    x = 5,509.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.