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Finding the Fourth Proportional to 9,500.76, 14,241 and 4,824.24

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Solution

The fourth proportional to 9,500.76, 14,241 and 4,824.24 is: 7,231.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.76 : 14,241 = 4,824.24 : x
  2. Step 2: Convert to fraction form
    9,500.76/14,241 = 4,824.24/x
  3. Step 3: Cross multiply
    9,500.76x = 14,241 × 4,824.24
  4. Step 4: Simplify right side
    9,500.76x = 68,702,001.84
  5. Step 5: Solve for x
    x = 68,702,001.84/9,500.76
  6. Step 6: Final answer
    x = 7,231.21

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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.