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Finding the Fourth Proportional to 6,304.85, 9,457.72 and 1,862.46

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Solution

The fourth proportional to 6,304.85, 9,457.72 and 1,862.46 is: 2,793.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.85 : 9,457.72 = 1,862.46 : x
  2. Step 2: Convert to fraction form
    6,304.85/9,457.72 = 1,862.46/x
  3. Step 3: Cross multiply
    6,304.85x = 9,457.72 × 1,862.46
  4. Step 4: Simplify right side
    6,304.85x = 17,614,620.54
  5. Step 5: Solve for x
    x = 17,614,620.54/6,304.85
  6. Step 6: Final answer
    x = 2,793.82

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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.