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Finding the Fourth Proportional to 9,226.31, 12,728.54 and 6,433.43

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Solution

The fourth proportional to 9,226.31, 12,728.54 and 6,433.43 is: 8,875.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.31 : 12,728.54 = 6,433.43 : x
  2. Step 2: Convert to fraction form
    9,226.31/12,728.54 = 6,433.43/x
  3. Step 3: Cross multiply
    9,226.31x = 12,728.54 × 6,433.43
  4. Step 4: Simplify right side
    9,226.31x = 81,888,123.53
  5. Step 5: Solve for x
    x = 81,888,123.53/9,226.31
  6. Step 6: Final answer
    x = 8,875.51

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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.