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Finding the Fourth Proportional to 9,741.60, 13,462.20 and 7,379.64

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Solution

The fourth proportional to 9,741.60, 13,462.20 and 7,379.64 is: 10,198.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.60 : 13,462.20 = 7,379.64 : x
  2. Step 2: Convert to fraction form
    9,741.60/13,462.20 = 7,379.64/x
  3. Step 3: Cross multiply
    9,741.60x = 13,462.20 × 7,379.64
  4. Step 4: Simplify right side
    9,741.60x = 99,346,189.61
  5. Step 5: Solve for x
    x = 99,346,189.61/9,741.60
  6. Step 6: Final answer
    x = 10,198.14

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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.