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Finding the Fourth Proportional to 9,662.96, 13,341.29 and 7,420.82

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Solution

The fourth proportional to 9,662.96, 13,341.29 and 7,420.82 is: 10,245.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.96 : 13,341.29 = 7,420.82 : x
  2. Step 2: Convert to fraction form
    9,662.96/13,341.29 = 7,420.82/x
  3. Step 3: Cross multiply
    9,662.96x = 13,341.29 × 7,420.82
  4. Step 4: Simplify right side
    9,662.96x = 99,003,207.85
  5. Step 5: Solve for x
    x = 99,003,207.85/9,662.96
  6. Step 6: Final answer
    x = 10,245.64

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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.