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Finding the Fourth Proportional to 12,239.30, 16,889.90 and 6,934.61

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Solution

The fourth proportional to 12,239.30, 16,889.90 and 6,934.61 is: 9,569.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,239.30 : 16,889.90 = 6,934.61 : x
  2. Step 2: Convert to fraction form
    12,239.30/16,889.90 = 6,934.61/x
  3. Step 3: Cross multiply
    12,239.30x = 16,889.90 × 6,934.61
  4. Step 4: Simplify right side
    12,239.30x = 117,124,750.32
  5. Step 5: Solve for x
    x = 117,124,750.32/12,239.30
  6. Step 6: Final answer
    x = 9,569.57

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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.