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Finding the Fourth Proportional to 10,170.08, 13,992.36 and 8,969.84

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Solution

The fourth proportional to 10,170.08, 13,992.36 and 8,969.84 is: 12,341.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,170.08 : 13,992.36 = 8,969.84 : x
  2. Step 2: Convert to fraction form
    10,170.08/13,992.36 = 8,969.84/x
  3. Step 3: Cross multiply
    10,170.08x = 13,992.36 × 8,969.84
  4. Step 4: Simplify right side
    10,170.08x = 125,509,230.42
  5. Step 5: Solve for x
    x = 125,509,230.42/10,170.08
  6. Step 6: Final answer
    x = 12,341.03

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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.