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Finding the Fourth Proportional to 9,005.73, 12,428.09 and 5,229.21

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Solution

The fourth proportional to 9,005.73, 12,428.09 and 5,229.21 is: 7,216.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005.73 : 12,428.09 = 5,229.21 : x
  2. Step 2: Convert to fraction form
    9,005.73/12,428.09 = 5,229.21/x
  3. Step 3: Cross multiply
    9,005.73x = 12,428.09 × 5,229.21
  4. Step 4: Simplify right side
    9,005.73x = 64,989,066.36
  5. Step 5: Solve for x
    x = 64,989,066.36/9,005.73
  6. Step 6: Final answer
    x = 7,216.41

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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.