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Finding the Fourth Proportional to 9,245.69, 13,850.28 and 6,116.23

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Solution

The fourth proportional to 9,245.69, 13,850.28 and 6,116.23 is: 9,162.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245.69 : 13,850.28 = 6,116.23 : x
  2. Step 2: Convert to fraction form
    9,245.69/13,850.28 = 6,116.23/x
  3. Step 3: Cross multiply
    9,245.69x = 13,850.28 × 6,116.23
  4. Step 4: Simplify right side
    9,245.69x = 84,711,498.04
  5. Step 5: Solve for x
    x = 84,711,498.04/9,245.69
  6. Step 6: Final answer
    x = 9,162.27

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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.