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Finding the Fourth Proportional to 12,194.16, 16,837.48 and 9,357

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Solution

The fourth proportional to 12,194.16, 16,837.48 and 9,357 is: 12,919.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.16 : 16,837.48 = 9,357 : x
  2. Step 2: Convert to fraction form
    12,194.16/16,837.48 = 9,357/x
  3. Step 3: Cross multiply
    12,194.16x = 16,837.48 × 9,357
  4. Step 4: Simplify right side
    12,194.16x = 157,548,300.36
  5. Step 5: Solve for x
    x = 157,548,300.36/12,194.16
  6. Step 6: Final answer
    x = 12,919.98

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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.