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Finding the Fourth Proportional to 12,207.36, 16,846.74 and 6,903.84

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Solution

The fourth proportional to 12,207.36, 16,846.74 and 6,903.84 is: 9,527.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.36 : 16,846.74 = 6,903.84 : x
  2. Step 2: Convert to fraction form
    12,207.36/16,846.74 = 6,903.84/x
  3. Step 3: Cross multiply
    12,207.36x = 16,846.74 × 6,903.84
  4. Step 4: Simplify right side
    12,207.36x = 116,307,197.48
  5. Step 5: Solve for x
    x = 116,307,197.48/12,207.36
  6. Step 6: Final answer
    x = 9,527.63

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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.