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Finding the Fourth Proportional to 12,301.44, 16,975.92 and 6,712.44

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Solution

The fourth proportional to 12,301.44, 16,975.92 and 6,712.44 is: 9,263.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,301.44 : 16,975.92 = 6,712.44 : x
  2. Step 2: Convert to fraction form
    12,301.44/16,975.92 = 6,712.44/x
  3. Step 3: Cross multiply
    12,301.44x = 16,975.92 × 6,712.44
  4. Step 4: Simplify right side
    12,301.44x = 113,949,844.44
  5. Step 5: Solve for x
    x = 113,949,844.44/12,301.44
  6. Step 6: Final answer
    x = 9,263.13

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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.