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Finding the Fourth Proportional to 8,962.14, 13,437.29 and 3,412.02

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Solution

The fourth proportional to 8,962.14, 13,437.29 and 3,412.02 is: 5,115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,962.14 : 13,437.29 = 3,412.02 : x
  2. Step 2: Convert to fraction form
    8,962.14/13,437.29 = 3,412.02/x
  3. Step 3: Cross multiply
    8,962.14x = 13,437.29 × 3,412.02
  4. Step 4: Simplify right side
    8,962.14x = 45,848,361.15
  5. Step 5: Solve for x
    x = 45,848,361.15/8,962.14
  6. Step 6: Final answer
    x = 5,115.78

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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.