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Finding the Fourth Proportional to 9,435.42, 14,123.97 and 8,035.74

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Solution

The fourth proportional to 9,435.42, 14,123.97 and 8,035.74 is: 12,028.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,435.42 : 14,123.97 = 8,035.74 : x
  2. Step 2: Convert to fraction form
    9,435.42/14,123.97 = 8,035.74/x
  3. Step 3: Cross multiply
    9,435.42x = 14,123.97 × 8,035.74
  4. Step 4: Simplify right side
    9,435.42x = 113,496,550.69
  5. Step 5: Solve for x
    x = 113,496,550.69/9,435.42
  6. Step 6: Final answer
    x = 12,028.78

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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.