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Finding the Fourth Proportional to 9,452.64, 14,160.50 and 6,949.21

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Solution

The fourth proportional to 9,452.64, 14,160.50 and 6,949.21 is: 10,410.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.64 : 14,160.50 = 6,949.21 : x
  2. Step 2: Convert to fraction form
    9,452.64/14,160.50 = 6,949.21/x
  3. Step 3: Cross multiply
    9,452.64x = 14,160.50 × 6,949.21
  4. Step 4: Simplify right side
    9,452.64x = 98,404,288.21
  5. Step 5: Solve for x
    x = 98,404,288.21/9,452.64
  6. Step 6: Final answer
    x = 10,410.24

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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.