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Finding the Fourth Proportional to 9,741.44, 14,595.42 and 7,674.68

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Solution

The fourth proportional to 9,741.44, 14,595.42 and 7,674.68 is: 11,498.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.44 : 14,595.42 = 7,674.68 : x
  2. Step 2: Convert to fraction form
    9,741.44/14,595.42 = 7,674.68/x
  3. Step 3: Cross multiply
    9,741.44x = 14,595.42 × 7,674.68
  4. Step 4: Simplify right side
    9,741.44x = 112,015,177.97
  5. Step 5: Solve for x
    x = 112,015,177.97/9,741.44
  6. Step 6: Final answer
    x = 11,498.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.