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Finding the Fourth Proportional to 9,222.29, 12,728.15 and 5,639.31

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Solution

The fourth proportional to 9,222.29, 12,728.15 and 5,639.31 is: 7,783.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.29 : 12,728.15 = 5,639.31 : x
  2. Step 2: Convert to fraction form
    9,222.29/12,728.15 = 5,639.31/x
  3. Step 3: Cross multiply
    9,222.29x = 12,728.15 × 5,639.31
  4. Step 4: Simplify right side
    9,222.29x = 71,777,983.58
  5. Step 5: Solve for x
    x = 71,777,983.58/9,222.29
  6. Step 6: Final answer
    x = 7,783.10

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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.