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Finding the Fourth Proportional to 9,226.74, 12,732.48 and 5,690.28

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Solution

The fourth proportional to 9,226.74, 12,732.48 and 5,690.28 is: 7,852.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.74 : 12,732.48 = 5,690.28 : x
  2. Step 2: Convert to fraction form
    9,226.74/12,732.48 = 5,690.28/x
  3. Step 3: Cross multiply
    9,226.74x = 12,732.48 × 5,690.28
  4. Step 4: Simplify right side
    9,226.74x = 72,451,376.29
  5. Step 5: Solve for x
    x = 72,451,376.29/9,226.74
  6. Step 6: Final answer
    x = 7,852.33

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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.