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Finding the Fourth Proportional to 12,880.33, 19,293.95 and 6,197.09

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Solution

The fourth proportional to 12,880.33, 19,293.95 and 6,197.09 is: 9,282.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,880.33 : 19,293.95 = 6,197.09 : x
  2. Step 2: Convert to fraction form
    12,880.33/19,293.95 = 6,197.09/x
  3. Step 3: Cross multiply
    12,880.33x = 19,293.95 × 6,197.09
  4. Step 4: Simplify right side
    12,880.33x = 119,566,263.63
  5. Step 5: Solve for x
    x = 119,566,263.63/12,880.33
  6. Step 6: Final answer
    x = 9,282.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.