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Finding the Fourth Proportional to 9,709.47, 14,560.61 and 3,467.81

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Solution

The fourth proportional to 9,709.47, 14,560.61 and 3,467.81 is: 5,200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.47 : 14,560.61 = 3,467.81 : x
  2. Step 2: Convert to fraction form
    9,709.47/14,560.61 = 3,467.81/x
  3. Step 3: Cross multiply
    9,709.47x = 14,560.61 × 3,467.81
  4. Step 4: Simplify right side
    9,709.47x = 50,493,467.53
  5. Step 5: Solve for x
    x = 50,493,467.53/9,709.47
  6. Step 6: Final answer
    x = 5,200.43

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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.