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Finding the Fourth Proportional to 6,289.94, 9,434.90 and 1,672.94

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Solution

The fourth proportional to 6,289.94, 9,434.90 and 1,672.94 is: 2,509.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.94 : 9,434.90 = 1,672.94 : x
  2. Step 2: Convert to fraction form
    6,289.94/9,434.90 = 1,672.94/x
  3. Step 3: Cross multiply
    6,289.94x = 9,434.90 × 1,672.94
  4. Step 4: Simplify right side
    6,289.94x = 15,784,021.61
  5. Step 5: Solve for x
    x = 15,784,021.61/6,289.94
  6. Step 6: Final answer
    x = 2,509.41

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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.