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Finding the Fourth Proportional to 9,489.69, 14,243.17 and 5,051.09

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Solution

The fourth proportional to 9,489.69, 14,243.17 and 5,051.09 is: 7,581.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.69 : 14,243.17 = 5,051.09 : x
  2. Step 2: Convert to fraction form
    9,489.69/14,243.17 = 5,051.09/x
  3. Step 3: Cross multiply
    9,489.69x = 14,243.17 × 5,051.09
  4. Step 4: Simplify right side
    9,489.69x = 71,943,492.67
  5. Step 5: Solve for x
    x = 71,943,492.67/9,489.69
  6. Step 6: Final answer
    x = 7,581.23

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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.