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Finding the Fourth Proportional to 10,449.36, 14,419.94 and 5,669.22

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Solution

The fourth proportional to 10,449.36, 14,419.94 and 5,669.22 is: 7,823.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.36 : 14,419.94 = 5,669.22 : x
  2. Step 2: Convert to fraction form
    10,449.36/14,419.94 = 5,669.22/x
  3. Step 3: Cross multiply
    10,449.36x = 14,419.94 × 5,669.22
  4. Step 4: Simplify right side
    10,449.36x = 81,749,812.25
  5. Step 5: Solve for x
    x = 81,749,812.25/10,449.36
  6. Step 6: Final answer
    x = 7,823.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.