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Finding the Fourth Proportional to 6,421.78, 9,631.89 and 1,741.50

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Solution

The fourth proportional to 6,421.78, 9,631.89 and 1,741.50 is: 2,612.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.78 : 9,631.89 = 1,741.50 : x
  2. Step 2: Convert to fraction form
    6,421.78/9,631.89 = 1,741.50/x
  3. Step 3: Cross multiply
    6,421.78x = 9,631.89 × 1,741.50
  4. Step 4: Simplify right side
    6,421.78x = 16,773,906.85
  5. Step 5: Solve for x
    x = 16,773,906.85/6,421.78
  6. Step 6: Final answer
    x = 2,612.03

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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.