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Finding the Fourth Proportional to 9,449.40, 14,174.10 and 5,496.60

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Solution

The fourth proportional to 9,449.40, 14,174.10 and 5,496.60 is: 8,244.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,449.40 : 14,174.10 = 5,496.60 : x
  2. Step 2: Convert to fraction form
    9,449.40/14,174.10 = 5,496.60/x
  3. Step 3: Cross multiply
    9,449.40x = 14,174.10 × 5,496.60
  4. Step 4: Simplify right side
    9,449.40x = 77,909,358.06
  5. Step 5: Solve for x
    x = 77,909,358.06/9,449.40
  6. Step 6: Final answer
    x = 8,244.90

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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.