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Finding the Fourth Proportional to 9,435.96, 14,149.62 and 2,859.84

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Solution

The fourth proportional to 9,435.96, 14,149.62 and 2,859.84 is: 4,288.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,435.96 : 14,149.62 = 2,859.84 : x
  2. Step 2: Convert to fraction form
    9,435.96/14,149.62 = 2,859.84/x
  3. Step 3: Cross multiply
    9,435.96x = 14,149.62 × 2,859.84
  4. Step 4: Simplify right side
    9,435.96x = 40,465,649.26
  5. Step 5: Solve for x
    x = 40,465,649.26/9,435.96
  6. Step 6: Final answer
    x = 4,288.45

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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.