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Finding the Fourth Proportional to 10,467.40, 14,447.70 and 9,728.20

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Solution

The fourth proportional to 10,467.40, 14,447.70 and 9,728.20 is: 13,427.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.40 : 14,447.70 = 9,728.20 : x
  2. Step 2: Convert to fraction form
    10,467.40/14,447.70 = 9,728.20/x
  3. Step 3: Cross multiply
    10,467.40x = 14,447.70 × 9,728.20
  4. Step 4: Simplify right side
    10,467.40x = 140,550,115.14
  5. Step 5: Solve for x
    x = 140,550,115.14/10,467.40
  6. Step 6: Final answer
    x = 13,427.41

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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.