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Finding the Fourth Proportional to 9,635.76, 14,457.82 and 3,400.24

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Solution

The fourth proportional to 9,635.76, 14,457.82 and 3,400.24 is: 5,101.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.76 : 14,457.82 = 3,400.24 : x
  2. Step 2: Convert to fraction form
    9,635.76/14,457.82 = 3,400.24/x
  3. Step 3: Cross multiply
    9,635.76x = 14,457.82 × 3,400.24
  4. Step 4: Simplify right side
    9,635.76x = 49,160,057.88
  5. Step 5: Solve for x
    x = 49,160,057.88/9,635.76
  6. Step 6: Final answer
    x = 5,101.84

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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.