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Finding the Fourth Proportional to 9,824.35, 14,723.38 and 4,819.07

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Solution

The fourth proportional to 9,824.35, 14,723.38 and 4,819.07 is: 7,222.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.35 : 14,723.38 = 4,819.07 : x
  2. Step 2: Convert to fraction form
    9,824.35/14,723.38 = 4,819.07/x
  3. Step 3: Cross multiply
    9,824.35x = 14,723.38 × 4,819.07
  4. Step 4: Simplify right side
    9,824.35x = 70,952,998.86
  5. Step 5: Solve for x
    x = 70,952,998.86/9,824.35
  6. Step 6: Final answer
    x = 7,222.16

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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.