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Finding the Fourth Proportional to 12,606.30, 17,396.56 and 6,940.93

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Solution

The fourth proportional to 12,606.30, 17,396.56 and 6,940.93 is: 9,578.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,606.30 : 17,396.56 = 6,940.93 : x
  2. Step 2: Convert to fraction form
    12,606.30/17,396.56 = 6,940.93/x
  3. Step 3: Cross multiply
    12,606.30x = 17,396.56 × 6,940.93
  4. Step 4: Simplify right side
    12,606.30x = 120,748,329.20
  5. Step 5: Solve for x
    x = 120,748,329.20/12,606.30
  6. Step 6: Final answer
    x = 9,578.41

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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.