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Finding the Fourth Proportional to 11,967.09, 16,513.39 and 6,932.93

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Solution

The fourth proportional to 11,967.09, 16,513.39 and 6,932.93 is: 9,566.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.09 : 16,513.39 = 6,932.93 : x
  2. Step 2: Convert to fraction form
    11,967.09/16,513.39 = 6,932.93/x
  3. Step 3: Cross multiply
    11,967.09x = 16,513.39 × 6,932.93
  4. Step 4: Simplify right side
    11,967.09x = 114,486,176.93
  5. Step 5: Solve for x
    x = 114,486,176.93/11,967.09
  6. Step 6: Final answer
    x = 9,566.75

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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.