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Finding the Fourth Proportional to 9,225.76, 13,820.79 and 7,727.18

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Solution

The fourth proportional to 9,225.76, 13,820.79 and 7,727.18 is: 11,575.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.76 : 13,820.79 = 7,727.18 : x
  2. Step 2: Convert to fraction form
    9,225.76/13,820.79 = 7,727.18/x
  3. Step 3: Cross multiply
    9,225.76x = 13,820.79 × 7,727.18
  4. Step 4: Simplify right side
    9,225.76x = 106,795,732.07
  5. Step 5: Solve for x
    x = 106,795,732.07/9,225.76
  6. Step 6: Final answer
    x = 11,575.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.