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Finding the Fourth Proportional to 9,485.20, 14,227.80 and 6,374.80

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Solution

The fourth proportional to 9,485.20, 14,227.80 and 6,374.80 is: 9,562.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.20 : 14,227.80 = 6,374.80 : x
  2. Step 2: Convert to fraction form
    9,485.20/14,227.80 = 6,374.80/x
  3. Step 3: Cross multiply
    9,485.20x = 14,227.80 × 6,374.80
  4. Step 4: Simplify right side
    9,485.20x = 90,699,379.44
  5. Step 5: Solve for x
    x = 90,699,379.44/9,485.20
  6. Step 6: Final answer
    x = 9,562.20

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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.