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Finding the Fourth Proportional to 9,160.44, 13,742.48 and 3,895.41

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Solution

The fourth proportional to 9,160.44, 13,742.48 and 3,895.41 is: 5,843.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.44 : 13,742.48 = 3,895.41 : x
  2. Step 2: Convert to fraction form
    9,160.44/13,742.48 = 3,895.41/x
  3. Step 3: Cross multiply
    9,160.44x = 13,742.48 × 3,895.41
  4. Step 4: Simplify right side
    9,160.44x = 53,532,655.29
  5. Step 5: Solve for x
    x = 53,532,655.29/9,160.44
  6. Step 6: Final answer
    x = 5,843.90

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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.