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Finding the Fourth Proportional to 6,406.45, 9,609.98 and 1,903.05

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Solution

The fourth proportional to 6,406.45, 9,609.98 and 1,903.05 is: 2,854.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.45 : 9,609.98 = 1,903.05 : x
  2. Step 2: Convert to fraction form
    6,406.45/9,609.98 = 1,903.05/x
  3. Step 3: Cross multiply
    6,406.45x = 9,609.98 × 1,903.05
  4. Step 4: Simplify right side
    6,406.45x = 18,288,272.44
  5. Step 5: Solve for x
    x = 18,288,272.44/6,406.45
  6. Step 6: Final answer
    x = 2,854.67

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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.