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Finding the Fourth Proportional to 12,942.30, 17,866.39 and 9,756.89

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Solution

The fourth proportional to 12,942.30, 17,866.39 and 9,756.89 is: 13,469.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,942.30 : 17,866.39 = 9,756.89 : x
  2. Step 2: Convert to fraction form
    12,942.30/17,866.39 = 9,756.89/x
  3. Step 3: Cross multiply
    12,942.30x = 17,866.39 × 9,756.89
  4. Step 4: Simplify right side
    12,942.30x = 174,320,373.50
  5. Step 5: Solve for x
    x = 174,320,373.50/12,942.30
  6. Step 6: Final answer
    x = 13,469.04

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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.