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Finding the Fourth Proportional to 6,289.89, 9,434.85 and 1,672.89

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Solution

The fourth proportional to 6,289.89, 9,434.85 and 1,672.89 is: 2,509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.89 : 9,434.85 = 1,672.89 : x
  2. Step 2: Convert to fraction form
    6,289.89/9,434.85 = 1,672.89/x
  3. Step 3: Cross multiply
    6,289.89x = 9,434.85 × 1,672.89
  4. Step 4: Simplify right side
    6,289.89x = 15,783,466.22
  5. Step 5: Solve for x
    x = 15,783,466.22/6,289.89
  6. Step 6: Final answer
    x = 2,509.34

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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.