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Finding the Fourth Proportional to 9,467.57, 13,065.26 and 5,491.01

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Solution

The fourth proportional to 9,467.57, 13,065.26 and 5,491.01 is: 7,577.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467.57 : 13,065.26 = 5,491.01 : x
  2. Step 2: Convert to fraction form
    9,467.57/13,065.26 = 5,491.01/x
  3. Step 3: Cross multiply
    9,467.57x = 13,065.26 × 5,491.01
  4. Step 4: Simplify right side
    9,467.57x = 71,741,380.53
  5. Step 5: Solve for x
    x = 71,741,380.53/9,467.57
  6. Step 6: Final answer
    x = 7,577.60

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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.