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Finding the Fourth Proportional to 9,984.12, 14,977.54 and 3,408.54

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Solution

The fourth proportional to 9,984.12, 14,977.54 and 3,408.54 is: 5,113.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.12 : 14,977.54 = 3,408.54 : x
  2. Step 2: Convert to fraction form
    9,984.12/14,977.54 = 3,408.54/x
  3. Step 3: Cross multiply
    9,984.12x = 14,977.54 × 3,408.54
  4. Step 4: Simplify right side
    9,984.12x = 51,051,544.19
  5. Step 5: Solve for x
    x = 51,051,544.19/9,984.12
  6. Step 6: Final answer
    x = 5,113.27

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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.