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Finding the Fourth Proportional to 10,173.14, 14,039.16 and 7,194.32

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Solution

The fourth proportional to 10,173.14, 14,039.16 and 7,194.32 is: 9,928.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,173.14 : 14,039.16 = 7,194.32 : x
  2. Step 2: Convert to fraction form
    10,173.14/14,039.16 = 7,194.32/x
  3. Step 3: Cross multiply
    10,173.14x = 14,039.16 × 7,194.32
  4. Step 4: Simplify right side
    10,173.14x = 101,002,209.57
  5. Step 5: Solve for x
    x = 101,002,209.57/10,173.14
  6. Step 6: Final answer
    x = 9,928.32

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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.