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Finding the Fourth Proportional to 12,409.73, 17,125.52 and 6,744.47

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Solution

The fourth proportional to 12,409.73, 17,125.52 and 6,744.47 is: 9,307.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.73 : 17,125.52 = 6,744.47 : x
  2. Step 2: Convert to fraction form
    12,409.73/17,125.52 = 6,744.47/x
  3. Step 3: Cross multiply
    12,409.73x = 17,125.52 × 6,744.47
  4. Step 4: Simplify right side
    12,409.73x = 115,502,564.97
  5. Step 5: Solve for x
    x = 115,502,564.97/12,409.73
  6. Step 6: Final answer
    x = 9,307.42

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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.