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Finding the Fourth Proportional to 10,305.36, 14,202 and 9,467.28

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Solution

The fourth proportional to 10,305.36, 14,202 and 9,467.28 is: 13,047.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.36 : 14,202 = 9,467.28 : x
  2. Step 2: Convert to fraction form
    10,305.36/14,202 = 9,467.28/x
  3. Step 3: Cross multiply
    10,305.36x = 14,202 × 9,467.28
  4. Step 4: Simplify right side
    10,305.36x = 134,454,310.56
  5. Step 5: Solve for x
    x = 134,454,310.56/10,305.36
  6. Step 6: Final answer
    x = 13,047.03

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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.