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Finding the Fourth Proportional to 6,421.68, 9,632.52 and 4,231.85

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Solution

The fourth proportional to 6,421.68, 9,632.52 and 4,231.85 is: 6,347.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.68 : 9,632.52 = 4,231.85 : x
  2. Step 2: Convert to fraction form
    6,421.68/9,632.52 = 4,231.85/x
  3. Step 3: Cross multiply
    6,421.68x = 9,632.52 × 4,231.85
  4. Step 4: Simplify right side
    6,421.68x = 40,763,331.60
  5. Step 5: Solve for x
    x = 40,763,331.60/6,421.68
  6. Step 6: Final answer
    x = 6,347.77

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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.