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Finding the Fourth Proportional to 9,905.40, 13,674.46 and 7,662.20

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Solution

The fourth proportional to 9,905.40, 13,674.46 and 7,662.20 is: 10,577.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.40 : 13,674.46 = 7,662.20 : x
  2. Step 2: Convert to fraction form
    9,905.40/13,674.46 = 7,662.20/x
  3. Step 3: Cross multiply
    9,905.40x = 13,674.46 × 7,662.20
  4. Step 4: Simplify right side
    9,905.40x = 104,776,447.41
  5. Step 5: Solve for x
    x = 104,776,447.41/9,905.40
  6. Step 6: Final answer
    x = 10,577.71

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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.