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Finding the Fourth Proportional to 6,194.46, 9,283.26 and 3,417

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Solution

The fourth proportional to 6,194.46, 9,283.26 and 3,417 is: 5,120.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.46 : 9,283.26 = 3,417 : x
  2. Step 2: Convert to fraction form
    6,194.46/9,283.26 = 3,417/x
  3. Step 3: Cross multiply
    6,194.46x = 9,283.26 × 3,417
  4. Step 4: Simplify right side
    6,194.46x = 31,720,899.42
  5. Step 5: Solve for x
    x = 31,720,899.42/6,194.46
  6. Step 6: Final answer
    x = 5,120.85

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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.