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Finding the Fourth Proportional to 7,135.88, 9,847.51 and 3,992.06

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Solution

The fourth proportional to 7,135.88, 9,847.51 and 3,992.06 is: 5,509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.88 : 9,847.51 = 3,992.06 : x
  2. Step 2: Convert to fraction form
    7,135.88/9,847.51 = 3,992.06/x
  3. Step 3: Cross multiply
    7,135.88x = 9,847.51 × 3,992.06
  4. Step 4: Simplify right side
    7,135.88x = 39,311,865.41
  5. Step 5: Solve for x
    x = 39,311,865.41/7,135.88
  6. Step 6: Final answer
    x = 5,509.05

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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.