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Finding the Fourth Proportional to 12,289.27, 16,959.79 and 6,911.82

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Solution

The fourth proportional to 12,289.27, 16,959.79 and 6,911.82 is: 9,538.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289.27 : 16,959.79 = 6,911.82 : x
  2. Step 2: Convert to fraction form
    12,289.27/16,959.79 = 6,911.82/x
  3. Step 3: Cross multiply
    12,289.27x = 16,959.79 × 6,911.82
  4. Step 4: Simplify right side
    12,289.27x = 117,223,015.72
  5. Step 5: Solve for x
    x = 117,223,015.72/12,289.27
  6. Step 6: Final answer
    x = 9,538.65

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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.