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Finding the Fourth Proportional to 9,142.98, 13,704.10 and 4,202.41

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Solution

The fourth proportional to 9,142.98, 13,704.10 and 4,202.41 is: 6,298.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.98 : 13,704.10 = 4,202.41 : x
  2. Step 2: Convert to fraction form
    9,142.98/13,704.10 = 4,202.41/x
  3. Step 3: Cross multiply
    9,142.98x = 13,704.10 × 4,202.41
  4. Step 4: Simplify right side
    9,142.98x = 57,590,246.88
  5. Step 5: Solve for x
    x = 57,590,246.88/9,142.98
  6. Step 6: Final answer
    x = 6,298.85

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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.